LEHRSTUHL A
FÜR MATHEMATIK

Analysis and Number Theory
 		Aachen University

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-   Deutsche Version

Paul L. Butzer, Ph.D. (Toronto), Dr.h.c. (Liège), D.Univ.h.c. (York, UK), Dr.h.c. (Timisoara)
Professor Emeritus, RWTH Aachen; Honorary Professor, Nanjing University (China)
Corresponding Member, Société Royale des Sciences de Liège; Associate Fellow, Académie Royale de Belgique; Honorary Member, Mathematische Gesellschaft in Hamburg.


Publications prior to 1993 and related material are listed in

  1. R.J. Nessel:
    Towards a survey of Paul Butzer's contributions to approximation theory
    In: Contemporary Mathematics, Vol. 190, Amer. Math. Soc., Providence, R.I. 1995, pp. 31-65
     
  2. E. Görlich, A. Krieg, R.J. Nessel and R.L. Stens:
    Paul L. Butzer - Five years as Professor Emeritus
    Results Math. 34, 20-31, 1998
     
  3. J.R. Higgins:
    An appreciation of Paul Butzer's work in signal theory
    Results Math. 34, 2-19, 1998
     
  4. W. Benz:
    Erinnerungen an frühe Jahre: Zum 70. Geburtstag von Paul Leo Butzer
    Results Math. 34, 209-213, 1998
     
  5. C. Vinti:
    A survey on recent results of the Mathematical Seminar in Perugia, inspired by the work of Professor P.L. Butzer
    Results Math. 34, 32-55, 1998
     
  6. J.R. Higgins:
    Paul Butzer reaches his seventy-fifth year
    Sampling Theory in Signal and Image Processing 3, iii-v, 2004
     
  7. C. Bardaro and G. Vinti:
    An abstract approach to sampling-type operators inspired by the work of P.L. Butzer, Part I - Linear Operators; Part II - Nonlinear Operators
    Sampling Theory in Signal and Image Processing 2, 271-295, 2003; 3, 29-43, 2004
     

Publications (since 1993)

  1. P.L. Butzer:
    Mathematics in West and East from the fifth to tenth centuries: An overview
    In: Science in Western and Eastern Civilization in Carolingian Times. Ed. by P.L. Butzer and D. Lohrmann. Birkhäuser Verlag, Basel, 443-481, 1993
     
  2. P.L. Butzer:
    Table of scholars and works in science (AD 400-950)
    In: Science in Western and Eastern Civilization in Carolingian Times. Ed. by P.L. Butzer and D. Lohrmann. Birkhäuser Verlag, Basel, 599-605, 1993
     
  3. P.L. Butzer and M. Hauss:
    Eulerian numbers with fractional order parameters.
    Aequationes Math. 46, 119-142, 1993
     
  4. P.L. Butzer and R.J. Nessel:
    Aspects of de La Vallée Poussin's Work in Approximation and its Influence
    Arch. Hist. Exact Sci. 46, 67-95, 1993
     
  5. P.L. Butzer and G. Schöttler:
    Sampling expansions for Jacobi functions and their applications
    Acta Sci. Math. (Szeged) 57, 305-327, 1993
     
  6. P.L. Butzer and R.L. Stens:
    Linear prediction by samples from the past
    In: Advanced Topics in Shannon Sampling and Interpolation Theory (Ed. by Robert J. Marks II), Springer Verlag, New York, 157-183, 1993
     
  7. P.L. Butzer:
    The Hausdorff-Young theorems of Fourier Analysis and their impact
    J. Fourier Anal. Appl. 1, 113-130, 1994
     
  8. P.L. Butzer, W.N. Everitt, G. Schöttler:
    Sturm-Liouville boundary value problems and Lagrange interpolation series
    Rend. Mat. Appl. (7) 14, 87-126, 1994
     
  9. P.L. Butzer, A. Fischer, K. Rückforth:
    Scaling functions and wavelets with vanishing moments
    Comp. Math. Appl. 27, 33-39, 1994
     
  10. P.L. Butzer, S. Flocke and M. Hauss:
    Euler functions Ealpha (z) with complex alpha and applications
    In: Approximation, Probability, and Related Fields (Proc. Conference at Santa Barbara, May 1993; Ed. by G. Anastassiou and S.T. Rachev), Plenum Press, New York, 127-150, 1994
     
  11. P.L. Butzer and G. Schöttler:
    Sampling theorems associated with fourth and higher order self-adjoint eigenvalue problems
    J. Comput. Appl. Math. 51, 159-177, 1994
     
  12. P.L. Butzer:
    Mathematics in Egypt and its connections with the court school of Charlemagne
    In: Mathematical Analysis, Wavelets, and Signal Processing (Proc. Int. Conf. at Cairo, Egypt, Jan. 1994; Ed. by M.E.H. Ismail et al), Contemp. Math., Vol. 190, Amer. Math. Soc., Providence, RI, 1-30, 1995
     
  13. P.L. Butzer and A. Gessinger:
    The mean ergodic theorem for cosine operator functions with optimal and non-optimal rates
    Acta Math. Hungar. 68, 319-351, 1995
     
  14. P.L. Butzer and A. Gessinger:
    Ergodic theorems for semigroups and cosine operator functions at zero and infinity with rates; Applications to partial differential equations. A survey
    In: Mathematical Analysis, Wavelets, and Signal Processing (Proc. Int. Conf. at Cairo, Egypt, Jan. 1994; Ed. by M.E.H. Ismail et al), Contemp. Math., Vol. 190, Amer. Math. Soc., Providence, RI, 67-94, 1995
     
  15. P.L. Butzer and A. Gessinger:
    The approximation theoretical behaviour of solutions of specific hyperbolic differential equations at zero and infinity
    In: Approximationa Theory. (Proceed. Int. Meeting, Dortmund, March 1995; Ed. by M.W. Müller, M. Felten and D.H. Mache). Mathematical Research Vol. 86, 27-51, Akademie Verlag, Berlin, 1995
     
  16. P.L. Butzer and A. Gessinger:
    A decomposition theorem for Parseval's equation; Connections with uniform and nonuniform sampling
    In: 1995 Workshop on Sampling Theory and Applications. Proc. Workshop at Jurmala, Latvia, Sept. 1995. Ed. by I. Bilinskis, G. Cain and F.A. Marvasti. Inst. of Electronics and Computer Science, Riga, Latvia, 100-107, 1995
     
  17. P.L. Butzer, U. Kalkmann, A. Krieg, L. Volkmann:
    Otto Blumenthal 1876-1944
    In: Wissenschaft zwischen Technischer und Gesellschaftlicher Herausforderung: Die Rheinisch-Westfälische Technische Hochschule Aachen 1970 bis 1995. Ed. by K. Habetha, Einhard Verlag, Aachen, 186-195, 1995
     
  18. P.L. Butzer and R.L. Stens:
    An extension of Kramer's sampling theorem for not necessarily "bandlimited" signals - the aliasing error
    Acta Sci. Math. (Szeged) 60, 59-69, 1995
     
  19. P.L. Butzer and A. Gessinger:
    Connections between the approximation of semigroup and cosine operator functions
    Atti. Sem. Mat. Fis. Univ. Modena 45, 81-142, 1997
     
  20. P.L. Butzer and A. Gessinger:
    The approximate sampling theorem, Poisson's sum formula, a decomposition theorem for Parseval's equation and their interconnections
    Ann. Numer. Math. 4, 134-160, 1997
     
  21. P.L. Butzer and S. Jansche:
    A direct approach to the Mellin transform
    J. Fourier Anal. Appl. 3, 325-376, 1997
     
  22. P.L. Butzer and J. Lei:
    Errors in sampling series with measured sampled values
    SAMPTA `97, 1997 International Workshop on Sampling Theory and Applications, Aveiro, Portugal, Universidade de Aveiro, 447-453, 1997
     
  23. P.L. Butzer and G. Nasri-Roudsari:
    Kramer's sampling theorem in signal analysis and its role in mathematics
    In: Proc. Conf. on Image Processing; Mathematical Methods and Applications, Cranfield Univ., Sept. 1994 (J.M. Blackledge, ed), The Institute of Mathematics and its Applications, New Series Number 61, Clarendon Press, Oxford 1997, pp. 49-95
     
  24. P.L. Butzer and Helga Butzer Felleisen
    Scholars of the mathematical sciences in the Aachen-Liège-Maastricht region during the past 1200 years; An overview
    In: Charlemagne and his Heritage. 1200 Years of Civilization and Science in Europe. Volume II: Mathematical Arts (P.L. Butzer, H.Th. Jongen and W. Oberschelp, eds.). Brepols, Turnhout 1998, pp. 43-90
     
  25. P.L. Butzer and S. Jansche:
    Mellin transform theory and the role of its differential and integral operators
    In: Transform Methods and Special Functions. Proc. Conf., Varna, August 1996, eds. P. Rusev, I. Dimovski, V. Kiryakova, Inst. of Mathematics & Informatics, Bulg.
    Acad. Sci., Sofia, Bulgaria 1998, pp. 63-83.
     
  26. P.L. Butzer and S. Jansche:
    The finite Mellin transform, Mellin-Fourier series, and the Mellin-Poisson summation formula
    In: Functional Analysis and Approximation Theory. Proc. Conf., Maratea, September 1996, eds. F. Altomare et al.
    Rend. Circ. Mat. Palermo (2) Suppl. 52, 55-82, 1998
     
  27. P.L. Butzer and S. Jansche:
    The exponential sampling theorem of signal analysis
    Atti. Sem. Mat. Fis. Univ. Modena 46 (1998), 99-122
     
  28. P.L. Butzer and J. Lei:
    Errors in truncated sampling series with measured sampled values for not-necessarily bandlimited functions
    Funct. Approx. Comment. Math. 26 (1998), 18-32
     
  29. P.L. Butzer and M. Hauss:
    Applications of sampling theory to combinatorial analysis, Stirling numbers, special functions and the Riemann zeta function
    In: Sampling Theory in Fourier and Signal Analysis: Advanced Topics (J.R. Higgins and R.L. Stens, eds.), Clarendon Press, Oxford 1999, pp. 1-37
     
  30. P.L. Butzer and F. Jongmans:
    P.L. Chebyshev (1821-1894); A guide to his life and work
    J. Approx Theory 96 (1999), 111-138
     
  31. P.L. Butzer and S. Jansche:
    A self-contained approach to Mellin transform analysis for square integrable functions; applications
    Integral Transform. Spec. Funct. 8 (1999), 175-198
     
  32. P.L. Butzer and S. Jansche:
    Mellin-Fourier series and the classical Mellin transform
    Comp. Math. Appl. 40 (2000), 49-62
     
  33. P.L. Butzer and M.H. Annaby:
    Mellin-type differential equations and associated sampling expansions
    Numer. Funct. Anal. Optim. 21 (2000), 1-24
     
  34. P.L. Butzer and U. Westphal:
    An introduction to fractional calculus
    In: Applications of Fractional Calculus in Physics (R. Hilfer, ed.) World Scientific Publ. Co., Singapore 2000, pp. 1-85
     
  35. P.L. Butzer and J. Lei:
    Approximation of signals using measured sampled values and error analysis
    Comm. Appl. Math. 4 (2000), 245-255
     
  36. P.L. Butzer, J.R. Higgins and R.L. Stens:
    Sampling theory of signal analysis
    In: Development of Mathematics 1950-2000 (Ed. J.-P. Pier), Birkhäuser, Basel 2000, pp.193-234
     
  37. P.L. Butzer, L. Carbone, F. Jongmans and F. Palladino:
    Les relations épistolaires entre Eugene Catalan et Ernesto Cesàro
    Acad. Roy. Belg. Bull. Cl. Sci. (6) 10 (1999), pp. 223-271
     
  38. P.L. Butzer and J. Mawhin:
    A biography of Charles-Jean de La Vallée Poussin
    In: Ch.-J. de La Vallée Poussin Collected Works, Circolo Mat. di Palermo, Vol. 1, Palermo 2000, pp. 11-15
     
  39. P.L. Butzer and J. Mawhin:
    Charles-Jean de La Vallée Poussin and the Académie Royale de Belgique
    In: Ch.-J. de La Vallée Poussin Collected Works, Circolo Mat. di Palermo, Vol. 1, Palermo 2000, pp. 27-34
     
  40. P.L. Butzer:
    Shannon Sampling Theorem
    Encyclopedia of Mathematics, Supplement Vol. II, Kluwer Academic Publ., Dordrecht 2000, pp. 420-421
     
  41. P.L. Butzer, L. Carbone, F. Jongmans and F. Palladino:
    Les relations épistolaires entre Charles Hermite et Ernesto Cesàro
    Acad. Roy. Belg. Bull. Cl. Sci. (6) 11 (2000), pp. 377-417
     
  42. P.L. Butzer, G. Schmeisser and R.L. Stens:
    An introduction to sampling analysis.
    In: Nonuniform Sampling; Theory and Practice, ed. by F. Marvasti, Kluwer Academic/Plenum Publishers, New York, Boston, Dordrecht, London, Moscow 2001, xxvi + 924 pp., pp. 17 - 121
     
  43. P.L. Butzer and A.I. Zayed:
    Lagrange interpolation and sampling theorems.
    In: Nonuniform Sampling; Theory and Practice, ed. by F. Marvasti, Kluwer Academic/Plenum Publishers, New York, Boston, Dordrecht, London, Moscow 2001, xxvi + 924 pp., pp. 123 - 168
     
  44. P.L. Butzer and J. Mawhin:
    Garnir, Henri, Georges, Marcel.
    In: Nouvelle Biographie Nationale (Acad. Roy. de Belgique), Vol. 6, 2001, pp. 207-209
     
  45. P.L. Butzer, A.A. Kilbas and J.J. Trujillo:
    Fractional calculus in the Mellin setting and Hadamard-type fractional integrals
    J. Math. Anal. Appl. 269 (2002), 1-27
     
  46. P.L. Butzer, A.A. Kilbas and J.J. Trujillo:
    Compositions of Hadamard-type fractional integration operators and the semigroup property
    J. Math. Anal. Appl. 269 (2002), 387-400
     
  47. P.L. Butzer, A.A. Kilbas and J.J. Trujillo:
    Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
    J. Math. Anal. Appl. 270 (2002), 1-15
     
  48. P.L. Butzer:
    The sampling theorem of signal processing; Applications to combinatorial analysis and number theory, An Overview.
    In: Trends in Industrial and Applied Mathematics (A.H. Siddiqi and M. Kocvara, eds.), Kluwer Academic Publishers, Dordrecht, 2002, pp. 23 - 61
     
  49. M.H. Annaby and P.L. Butzer:
    On sampling associated with singular Sturm-Liouville eigenvalue probelms: The limit-circle case
    Rocky Mt. J. Math. 32 (2002), 443-466
     
  50. P.L. Butzer:
    Bernoulli functions, Hilbert-type Poisson summation formulae, partial fraction expansions, and Hilbert-Eisenstein series.
    In: Analysis, Combinatorics and Computing (Proc. Int. Symposium at Dalian, China, August 2000; Ed. by T.-X. He, P.J.S. Shiue and Z. Li), Nova Science Publishers, New York, 2002, pp. 25-91
     
  51. P.L. Butzer and K.W. Butzer:
    Mathematics at Charlemagne's court and its transmission.
    In: Court Culture in the Early Middle Ages (Proceedings of the First Alcuin Conference. York, UK, July 1998; Ed. by C. Cubitt). Studies in the Early Middle Ages, Vol. 3, Brepols, Turnhout 2003, pp. 77-89
     
  52. C. Bardaro, P.L. Butzer, R.L. Stens and G. Vinti:
    Convergence in variation and rates of approximation for Bernstein-type polynomials and singular convolution integrals
    Analysis 23 (2003), 299-340
     
  53. P.L. Butzer, A.A. Kilbas and J.J. Trujillo:
    Generalized Stirling functions of second kind and representations of fractional order differences via derivatives
    J. Difference Equ. Appl. 9 (2003), 503-533
     
  54. P.L. Butzer, A.A. Kilbas and J.J. Trujillo:
    Stirling functions of the second kind in the setting of difference and fractional calculus
    Numer. Funct. Anal. Optimization 24 (2003), 673-711
     
  55. M.H. Annaby and P.L. Butzer:
    Sampling in Paley-Wiener spaces associated with fractional integro-differential operators
    J. Comput. Appl. Math. 171 (2004), 39-57
     
  56. P.L. Butzer and R.J. Nessel:
    Work of de La Vallée Poussin in approximation theory and its impact
    In: Ch.-J. de La Vallée Poussin: Collected Works. Vol. III, Palermo 2004, pp. 375-414
     
  57. P.L. Butzer and R.L. Stens:
    De La Vallée Poussin's article of 1908 on interpolation and sampling theory, and its influence
    In: Ch.-J. de La Vallée Poussin: Collected Works. Vol. III, Palermo 2004, pp. 421-453
     
  58. M. Annaby and P.L. Butzer:
    Sampling in Paley-Wiener spaces associated with fractional integro-differential operators
    Jour. Comput. Appl. Math. 171 (2004), 39-57
     
  59. P.L. Butzer, J.R. Higgins and R.L. Stens:
    Classical and approximate sampling theorems; studies in the Lp(R) and the uniform norm
    J. Approx Theory 137 (2005), 250-263
     
  60. P.L. Butzer and L. Volkmann:
    Otto Blumenthal (1876-1944) in retrospect
    J. Approx Theory 138 (2006), 1-36
     
  61. C. Bardaro, P.L. Butzer, R.L. Stens and G. Vinti:
    Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals
    J. Math. Anal. Appl. 316 (2006), 269-306
     
  62. P.L. Butzer, T.K. Pogány and H.M. Srivastava:
    A linear ODE for the Omega function associated with the Euler function Eα(z) and the Bernoulli function Bα(z).
    Applied Math. Letters 19 (2006), 1073-1077
     
  63. P. L. Butzer and K. Springsfeld:
    Alcuin
    in: Biographical Encyclopedia of Astronomers, Vol. 1; Eds. T. Hockey, V. Trimble, T. R. Williams. Springer, New York (2007), 25–26
     
  64. P. L. Butzer:
    Heis, Edward [Eduard, Edouard]
    in: Biographical Encyclopedia of Astronomers, Vol. 1; Eds. T. Hockey, V. Trimble, T. R. Williams. Springer, New York (2007), 478–479
     
  65. P. L. Butzer:
    John of Lignères
    in: Biographical Encyclopedia of Astronomers, Vol. 1; Eds. T. Hockey, V. Trimble, T. R. Williams. Springer, New York (2007), 598–599
     
  66. P. L. Butzer:
    John of Muris [Murs]
    in: Biographical Encyclopedia of Astronomers, Vol. 1; Eds. T. Hockey, V. Trimble, T. R. Williams. Springer, New York (2007), 599–600
     
  67. P. L. Butzer:
    Schickard, Wilhelm
    in: Biographical Encyclopedia of Astronomers, Vol. 2; Eds. T. Hockey, V. Trimble, T. R. Williams. Springer, New York (2007), 1022–1023
     
  68. P. L. Butzer, A. A. Kilbas, L. Rodriguez-Germá and J. J. Trujillo:
    Stirling functions of first kind in the setting of fractional calculus and generalized differences.
    Jour. Difference Equations Appl. 13 (2007), 683–721
     
  69. P. L. Butzer and R. L. Stens:
    Reconstruction of signals in Lp(R)-space by generalized sampling series based on linear combinations of B-splines.
    Integral Transforms and Special Functions 19 (2008), 35–58
     
  70. P. L. Butzer and K. W. Butzer:
    Die Transmission von Wissenschaften und Ideen von Osten nach Westen im Zeitalter der Kreuzzüge.
    In: Burgen und Städte der Kreuzzugszeit, Mathias Piano (Hg.), Michael Imhof Verlag, Petersberg 2008, pp. 89–100; 492 pp.
     
  71. P. L. Butzer and H. Karsli:
    Voronovskaya-type theorems for derivatives of the Bernstein-Chlodovsky polynomials and the Szász-Mirakyan operator.
    Comment. Math. (Prace Mat.), 49 (2009), 33–58.
     
  72. P. L. Butzer:
    Retrospective on 60 years of approximation theory and associated fields.
    J. Approx. Theory, 160 (2009), 3–18.
     
  73. P. L. Butzer and J. J. Koliha:
    The a-Drazin inverse and ergodic behaviour of semigroups and cosine operator functions.
    J. Operator Theory, 62 (2009), 297–326.
     
  74. C. Bardaro, P. L. Butzer, R. L. Stens and G. Vinti:
    Prediction by samples from the past with error estimates covering discontinuous signals.
    IEEE Trans. Information Theory, 56 (2010), 614–633.
     
  75. P. L. Butzer, M. M. Dodson, P. J. S. G. Ferreira, J. R. Higgins, O. Lange, P. Seidler:
    Herbert Raabe's work in multiplex signal transmission and his development of sampling methods.
    Signal Process, 90 (2010), 1436–1455.
     
  76. P. L. Butzer, P. J. S. G. Ferreira, J. R. Higgins, S. Saitoh, G. Schmeisser and R. L. Stens
    Interpolation and sampling: E.T.Whittaker and K.Ogura and their followers.
    J. Fourier Anal. Appl. online.
    –
  77. P. L. Butzer, M. M. Dodson, P. J. S. G. Ferreira, J. R. Higgins, O. Lange, P. Seidler and R. L. Stens
    Multiplex signal transmission and the development of sampling techniques: the work of Herbert Raabe in contrast to that of Claude Shannon, in print.

Books, Conference Volumes, Collected Works

  1. P.L. Butzer and F. Fehér, Eds.:
    E. B. Christoffel: The Influence of his Work an Mathematics and the Physical lences.
    Birkhäuser, Basel, Boston, 1981, xxv + 761 pp.
     
  2. P.L. Butzer and E.L. Stark:
    Dissertationen in Mathematik an den Hochschulen der Bundesrepublik Deutschland in der Zeit von 1961 bis 1970. Eine Bibliographie.
    Jahresbericht der Deutschen Mathematiker-Vereinigung. B.G. Teubner-Verlag, Stuttgart 1975. 101 pp.
     
  3. P.L. Butzer and D. Lohrmann, Eds.:
    Science in Western and Eastern Civilization in Carolingian Times
    Birkhäuser Verlag, Basel, Boston, Berlin, 1993
    xx + 609 pp.
     
  4. P.L. Butzer, M. Kerner and W. Oberschelp, Eds., in Collaboration with R. Baum, H. Holländer and D. Lohrmann:
    Charlemagne and his Heritage. 1200 Years of Civilization and Science in Europe. Volume I: Scholarship, Worldview and Understanding. Brepols Publishers, Turnhout 1997
    xxxi + 557 pp.
     
  5. P.L. Butzer, H. Th. Jongen and W. Oberschelp, Eds., in Collaboration with J. Bemelmans, W. Dahmen, A. Krieg and W. Plesken:
    Charlemagne and his Heritage. 1200 Years of Civilization and Science in Europe. Volume II: Mathematical Arts. Brepols Publishers, Turnhout 1998
    xxiii + 571 pp.
     
  6. F. Al-Musallam, A. Boettcher, P.L. Butzer, G. Heinig, K.T. Vu, Guest Editors:
    Proceedings of the International Conference on Fourier Analysis and Applications. In: Numer. Funct. Anal. Optim. 21 (2000)
    xiv + 317 pp.
     
  7. P.L. Butzer, J. Mawhin and P. Vetro, Eds.:
    Ch.-J. de La Vallée Poussin: Collected Works. Vol. I, Biography and Number Theory, Circolo Matematico di Palermo, Palermo 2000
    xxiii + 668 pp.
     
  8. P.L. Butzer, J. Mawhin and P. Vetro, Eds.:
    Ch.-J. de La Vallée Poussin: Collected Works. Vol. II, Integration and Measure, Probability, Ordinary Differential Equations, Geometry, Mechanics, Circolo Matematico di Palermo, Palermo 2001
    xxiii + 673 pp.
  9. P.L. Butzer, J. Mawhin and P. Vetro, Eds.:
    Ch.-J. de La Vallée Poussin: Collected Works. Vol. III, Approximation Theory, Fourier Analysis, Quasi-analytic functions, Circolo Matematico di Palermo, Palermo 2004
    xxv + 611 pp.

Special Dedication Issues of Journals

  1. Papers dedicated to Professor Paul L. Butzer on the occasion of his retirement. Mathematical Analysis, Wavelets and Signal Processing.
    Contemp. Math., Vol. 190, American Mathematical Society, Providence, RI, 1995
    x + 354 pp.
     
  2. Series of Papers dedicated to Paul Leo Butzer on the occasion of his 70th birthday.
    Result. Math. 34, No. 1/2, pp. 1-206, No. 3/4, pp. 209-394, 1998
     
  3. (Papers) Dedicated to Professor Paul L. Butzer for his 70th birthday. A giant of Applied and Computational Mathematics during the 20th Century.
    J. Comp. Anal. Appl. 2, No. 2, No. 4, 2000; 3, No. 1, No. 2, No. 3, 2001
     
  4. (Papers) Dedicated to Professor Paul L. Butzer for his 75th birthday for his great contributions to mathematics.
    J. Concr. Appl. Math. 1, No. 3, No. 4, 2003
     
  5. Special Issue(s) in Honor of Professor Paul L. Butzer's 75th Birthday.
    Sampl. Theory Signal Image Process. 2, No. 3, pp. 217-295, 2003; 3, No. 1, pp. 1-94, 2004
     
  6. (Papers) On the occasion of Professor Paul L. Butzer's 75th birthday.
    Fract. Calc. Appl. Anal. 6, No. 4, pp. 333-492, 2003
     

Publications in History of Mathematics, Physics, Astronomy, Computistics, etc.

  1. A survey of work on approximation at Aachen, 1968-1972. In: Prodeedings of the Symposium on Approximation Theory, Univ. of Texas at Austin, January 22-24,1973. Academic Press, New York 1973, 31-100.
     
  2. Hille's work an semigroup theory in connection with approximation theory. In: Einar Hille: Classical Analysis and Functional Analysis, Selected Papers (Ed: R.R. Kalman), MIT Press, 1975, 684-689.
     
  3. Hille's work an abstract summability in connection with orthogonal expansions multiplier and approximation theory. In: Einar Hille, ibidem S. 680-683.
     
  4. Die Mathematiker des Aachen-Lütticher Raumes von der karolingischen bis zur spätottonischen Epoche. Annalen des historischen Vereins für den Niederrhein, 178 (1976), 7-30.
     
  5. (with E. Stark) Promotionen in Mathematik in der Zeit von 1961-1970: Bundesrepublik Deutschland, USA und Kanada, ein statistischer Vergleich. Jber. Deutsch. Math.-Verein. 78 (1976), 168-175.
     
  6. (with F. Fehér) Elwin Bruno Christoffel zum 150. Geburtstag. Naturwissenschaftliche Rundschau 2 (1980), 45-47.
     
  7. (with F. Fehér) 150. Geburtstag von Elwin Bruno Christoffel - Wegbereiter der allgemeinen Relativitätstheorie. RWTH Themen No. 3 (1979), 5-8.
     
  8. (with S. Gieseler, F. Kaufmann, R.J. Nessel, E.L. Stark) Eduard Helly (1884-1943). Eine nachträgliche Würdigung. Jber. Deutsch. Math.-Verein. 82 (1980), 128-151.
     
  9. Leben und Wirken E.B. Christoffels (1829-1900). In: Elwin Bruno Christoffel. Heimatblätter des Kreises Aachen 34/35, no. 3/4 (1978) - no. 1 (1979), 5-21.
     
  10. Jacob Lionel Bakst Cooper - in Memoriam. In: Functional Analysis and Approxi mation (Proc. Conf. Math. Res. Inst. Oberwolfach, Black Forest, 09.-16.08.1980; Eds. P.L. Butzer - B. Sz.-Nagy - E. Görlich; ISNM 60) Birkhäuser, Basel - Boston - Stuttgart 1981, 482 pp.; pp. 19-23.
     
  11. (with F. Fehér) Bericht über das Internationale Christoffel-Symposium; Aachen und Monschau, 08.-11. Nov. 1979, Berichte zur Wissenschaftsgeschichte 3 (1980), 193-201.
     
  12. An outline of the life and work of E.B. Christoffel (1829-1900). Hist. Math. 8 (1981), 243-276.
     
  13. An outline of the life and work of E.B. Christoffel (1829-1900). In: E.B. Christoffel. The Influence of His Work an Mathematics and the Physical Sciences Eds. P.L. Butzer - F. Fehér. Birkhäuser, Basel - Boston - Stuttgart 1981, xxv +.761 pp; pp. 2-29.
     
  14. (with M. Jansen, H. Zilles) Zum bevorstehenden 125. Todestag des Mathematikers Johann Peter Gustav Lejeune Dirichlet (1805-1859 - Mitbegründer der Mathematischen Physik im deutschsprachigen Raum. Sudhoffs Archiv 68 (1984), 1-20.
     
  15. (with M. Jansen, H. Zilles) Johann Peter Gustav Lejeune Dirichlet (1805-1859), Genealogie und Werdegang. Zur Aufnahme des Dürener Mathematikers in die Berliner Akademie der Wissenschaften vor 150 Jahren, Dürener Geschichtsblätter, 71 (1982), 31-56.
     
  16. Mathematics in the Region Aachen-Liege-Maastricht from Carolingian Times to the 19th Century. Bull. Soc. Roy. Sci. Liege, 51 (1982), 5-30.
     
  17. Some recent applications of functional analysis to approximation theory. (Proc. Euler Colloquium Berlin, May 1983; Eds: E. Knobloch et al). In: Zum Werk Leonhard Eulers. Birkhäuser, Basel 1984, pp. 133-155.
     
  18. Dirichlet and his rote in the founding of mathematical physics. Archives Internationales d'Histoire des Sciences, 37, (1987), 49-82.
     
  19. (with R. Wald und H. Adam) Auf den Spuren dreier um 1510 in Münster/Westfalen wirkender rheinischer Mathematiker. Annalen d. historischen Vereins für den Niederrhein, Heft 189, 1986, pp. 65-96.
     
  20. (with R.J. Nessel and E.L. Stark) Eduard Helly (1884-1943), in memoriam. Resultate Math. 7 (1984), 145-153.
     
  21. (with E.L. Stark) "Riemann's Example" of a continuous nondifferentiable function in the light of two letters (1865) of Christoffel to Prym, Bulletin de la Societe Mathematique de Belgique, Serie A, t. XXXVIII, 1986, p. 45-73.
     
  22. Vorwort zur deutschen Ausgabe von Jean Diendonne: Geschichte der Mathematik 1700-1900. Ein Abriß. Friedr. Vieweg, Braunschweig-Wiesbaden, XX + 942 pp.; pp. V-VIII.
     
  23. (with R.J. Nessel - E.L. Stark) Helly, Eduard. In: Dictionary of Scientific Biography. Supplementum II (Ed. F.L. Holmes). Ch. Scribner's Sons, New York.
     
  24. (with E.L. Stark) The singular integral of Landau alias the Landau polynomialsplacement and Impact of Landau's article "Über die Approximation einer stetigen Funktion durch eine ganze rationale Funktion. In: Edmund Landau: Collected Works. Ed. by P.T. Bateman et al. Thales Verlag, Essen, Vol. III, (1987) pp. 83-111.
     
  25. (with A. Schaffrath): Mathematics in Belgium from the time of Charlemagne to the seventeenth century. In: "Sluse et son Temps", Proceedings of a Conference held at Amay, Liege and Vise an March 20-22, 1985 (= Bull. Soc. Roy. Sci. Liege 55 (1986)), pp. 99-134.
     
  26. Auf den Spuren zweier Aachener Mathematiker zur Zeit der Aufklärung: J.P. Carlier (c. 1680-1726 und J.J. Crümmel (1729-1807). Zeitschrift des Aachener Geschichtsvereins 93, (1986), 151-162.
     
  27. (with J. Vaillant) Obituary: Henri Georges Garnir (1921-1985). Bull. Lond. Math. Soc. 19 (1987), 609-622.
     
  28. (with R. Stollenwerk) Hermannus Contractus (1013-1054), Mathematiker und Rheumatiker? Benediktinische Monatsschrift - Erbe und Auftrag 64 Jg. (1988), 197-206.
     
  29. (with F. Jongmans) Eugene Catalan and the rise of Russian science. Acad. Roy. Belg. Bull. Cl. Sci. (6) 2 (1991), 59-90.
     
  30. (with F. Jongmans) P.L. Chebyshev (1821-1894) and his contacts with Western European scientists. Historia Math. 16(1989), 46-68.
     
  31. Heinrich Arbosch SJ (1726-1785) - Mathematiker am Jesuiten-Gymnasium zu Aachen; seine Rolle im Rahmen der großen Jesuiten-Mathematiker. Zeitschrift des Aachener Geschichtsverein 96 (1989), 169-191.
     
  32. (with A. Albat, L. Hoddick) Der Lehrkörper für Mathematik und Mechanik an der RWTH Aachen 1870-1945. In: Mathematische Institute in Deutschland 1800 - 1945. Deutsche Mathematiker-Vereinigung, Vieweg, Braunschweig 1989, 7-15.
     
  33. (with R.L. Stens) Sampling theory for not necessarily bandlimited functions: an historical overview. SIAM Rev. 34 (1992), 40-53.
     
  34. (with R.J. Nessel) De La Vallée Poussin's work in approximation and its influence. -Arch. Hist. Exact Sci. 46 (1993), 67-95.
     
  35. The work of W.H. Young an the Hausdorff-Young theorems of Fourier analysis and their Impact. In: Collected Works of W.H. and G.C. Young. (to appear)
     
  36. Mathematics in West and East from the fifth to tenth centuries: An overview In: Science in Western and Eastern Civilization in Carolingian Times. Ed. by P.L. Butzer and D. Lohrmann, Birkhäuser Verlag, Basel, 443-481, 1993
     
  37. Table of scholars and Works in science (AD 400-950) In: Science in Western and Eastern Civilization in Carolingian Times. Ed. by P.L. Butzer and D. Lohrmann. Birkhäuser Verlag, Basel, 599-605, 1993
     
  38. Mathematics in Egypt and its connections with the tourt school of Charlemagne In: Mathematical Analysis, Wavelets, and Signal Processing (Proc. Int. Conf. at Cairo, Egypt, Jan. 1994; Ed. by M.E.H. Ismail et al), Contemp. Math., Vol. 190, Amer. Math. Soc., Providence, RI, 1-30, 1995
     
  39. (with U. Kalkmann, A. Krieg, L. Volkmann) Otto Blumenthal 1876-1944. In: Wissenschaft zwischen Technischer und Gesellschaftlicher Herausforderung: Die Rheinisch-Westfälische Technische Hochschule Aachen 1970 bis 1995. Ed. by K. Habetha, Einhard Verlag, Aachen, 186-195, 1995
     
  40. Mathematics and astronomy at the court school of Charlemagne and its Mediterranean roots. Cahiers du Recherches Médievales (XIIIe-Xves.), Vol. V, 203-244, 1998
     
  41. (with Helga Butzer Felleisen) Scholars of the mathematical sciences in the Aachen-Liège-Maastricht region during the past 1200 years; An overview. In: Charlemagne and his Heritage. 1200 Years of Civilization and Science in Europe. Volume II: Mathematical Arts (P.L. Butzer, H.Th. Jongen and W. Oberschelp, eds.). Brepols, Turnhout 1998, pp. 43-90
     
  42. (with F. Jongmans) P.L. Chebyshev (1821-1894); A guide to his life and work. J. Approx Theory 96 (1999), 111-138
     
  43. (with J.R. Higgins and R.L. Stens) Sampling theory of signal analysis. In: Development of Mathematics 1950-2000 (Ed. J.-P. Pier), Birkhäuser, Basel 2000, pp.193-234
     
  44. (with L. Carbone, F. Jongmans and F. Palladino) Les relations épistolaires entre Eugene Catalan et Ernesto Cesàro. Acad. Roy. Belg. Bull. Cl. Sci. (6) 10 (1999), pp. 223-271
     
  45. (with J. Mawhin) A biography of Charles-Jean de La Vallée Poussin. In: Ch.-J. de La Vall´e Poussin Collected Works, Circolo Mat. di Palermo, Vol. 1, Palermo 2000, pp. 11-15
     
  46. (with J. Mawhin) Charles-Jean de La Vallée Poussin and the Académie Royale de Belgique. In: Ch.-J. de La Vallée Poussin Collected Works, Circolo Mat. di Palermo, Vol. 1, Palermo 2000, pp. 27-34
     
  47. (with L. Carbone, F. Jongmans and F. Palladino) Les relations épistolaires entre Charles Hermite et Ernesto Cesàro. Acad. Roy. Belg. Bull. Cl. Sci. (6) 11 (2000), pp. 377-417
     
  48. (with J. Mawhin) Garnir, Henri, Georges, Marcel. In: Nouvelle Biographie Nationale (Acad. Roy. de Belgique), Vol. 6, 2001, pp. 207-209
     
  49. (with K.W. Butzer) Mathematics at Charlemagne's court and its transmission. In: Court Culture in the Early Middle Ages (Proceedings of the First Alcuin Conference. York, UK, July 1998; Ed. by C. Cubitt). Studies in the Early Middle Ages, Vol. 3, Brepols, Turnhout 2003, pp. 77-89
     
  50. (with R.J. Nessel) Work of de La Vallée Poussin in approximation theory and its impact. In: Ch.-J. de La Vallée Poussin: Collected Works. Vol. III, Palermo 2004, pp. 375-414
     
  51. (with R.L. Stens) De La Vallée Poussin's article of 1908 on interpolation and sampling theory, and its influence. In: Ch.-J. de La Vallée Poussin: Collected Works. Vol. III, Palermo 2004, pp. 421-453
     
  52. (with L. Volkmann) Otto Blumenthal (1876-1944) in retrospect. J. Approx Theory 138 (2006), 1-36
     
  53. (with K. Springsfeld) Alcuin
    in: Biographical Encyclopedia of Astronomers, Vol. 1; Eds. T. Hockey, V. Trimble, T. R. Williams. Springer, New York (2007), 25–26
     
  54. Heis, Edward [Eduard, Edouard]
    in: Biographical Encyclopedia of Astronomers, Vol. 1; Eds. T. Hockey, V. Trimble, T. R. Williams. Springer, New York (2007), 478–479
     
  55. John of Lignères
    in: Biographical Encyclopedia of Astronomers, Vol. 1; Eds. T. Hockey, V. Trimble, T. R. Williams. Springer, New York (2007), 598–599
     
  56. John of Muris [Murs]
    in: Biographical Encyclopedia of Astronomers, Vol. 1; Eds. T. Hockey, V. Trimble, T. R. Williams. Springer, New York (2007), 599–600
     
  57. Schickard, Wilhelm
    in: Biographical Encyclopedia of Astronomers, Vol. 2; Eds. T. Hockey, V. Trimble, T. R. Williams. Springer, New York (2007), 1022–1023
     

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