LEHRSTUHL A
FÜR MATHEMATIK

Analysis und Zahlentheorie
RWTH Aachen

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-   English version

Prof. Dr. Rudolf Stens


Publikationen (Auswahl)

  1. P.L. Butzer, S. Ries, and R.L. Stens:
    Shannon's sampling theorem, Cauchy's integral formula, and related results
    In: Anniversary Volume on Approximation Theory and Functional Analysis, Proc. Conf., Oberwolfach, Germany, 1983 (P.L. Butzer, R.L. Stens, and B. Sz-Nagy, eds.), ISNM, vol. 65, Birkhäuser Verlag, Basel, 1984, pp. 363-377
     
  2. P.L. Butzer and R.L. Stens:
    A modification of the Whittaker-Kotelnikov-Shannon sampling series
    Aequationes Math. 28 (1985), 305-311
     
  3. P.L. Butzer, W. Engels, S. Ries, and R.L. Stens:
    The Shannon sampling series and the reconstruction of signals in terms of linear, quadratic and cubic splines
    SIAM J. Appl. Math. 46 (1986), no. 2, 299-323
     
  4. P.L. Butzer, W. Splettstößer, and R.L. Stens:
    The sampling theorem and linear prediction in signal analysis
    Jahresber. Deutsch. Math.-Verein. 90 (1988), 1-70
     
  5. P.L. Butzer, S. Jansche, and R.L.Stens:
    Functional analytic methods in the solution of the fundamental theorems on best-weighted algebraic approximation
    In: Approximation Theory, Proc. Conf., Memphis, TN, USA, 1991 (G.A. Anastassiou, ed.), Lecture Notes in Pure and Applied Mathematics, vol. 138, Dekker, New York, 1992, pp. 151-205
     
  6. S. Jansche and R.L. Stens:
    Best weighted polynomial approximation on the real line; a functional analytic approach
    J. Comput. Appl. Math. 40 (1992), no. 2, 199-213
     
  7. P.L. Butzer and R.L. Stens:
    Sampling theory for not necessarily band-limited functions; a historical overview
    SIAM Rev. 34 (1992), no. 1, 40-53
     
  8. P.L. Butzer and R.L. Stens:
    Linear prediction by samples from the past
    In: Advanced Topics in Shannon Sampling and Interpolation Theory (R.J. Marks II, ed.), Springer-Verlag, New York, 1993, pp. 157-183
     
  9. P.L. Butzer, A. Fischer, and R.L. Stens:
    Generalized sampling approximation of multivariate signals; general theory
    Atti Sem. Mat. Fis. Univ. Modena 41 (1993), no. 1, 17-37
     
  10. 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 (1995), no. 1-2, 59-69
     
  11. E. Görlich, A. Krieg, R.J. Nessel, and R.L. Stens:
    Paul L. Butzer - five years as Professor emeritus
    Results Math. 34 (1998), no. 1-2, 20-31
     
  12. R.L. Stens:
    Sampling with generalized kernels
    In: Sampling Theory in Fourier and Signal Analysis: Advanced Topics (J.R. Higgins and R.L. Stens, eds.), Clarendon Press, Oxford, 1999
     
  13. P.L. Butzer and R.L. Stens:
    De la Vallèe Poussin's paper of 1908 on interpolation and sampling theory, and its influence
    In: Charles Baron de la Vallèe Poussin, Collected Works (P.L. Butzer, J. Mawhin, and P. Vetro, eds.), vol. 3, to appear
     
  14. U. Hettich and R.L. Stens:
    Approximating a bandlimited function in terms of its samples
    Comput. Math. Appl. 40 (2000), 107-116
     
  15. P.L. Butzer, J.R. Higgins, and R.L. Stens:
    Sampling theory of signal theory
    In: Development of Mathematics 1950--2000 (J.-P. Pier, ed.), Birkhäuser Verlag, Basel, 2000, 193-234
     
  16. P.L. Butzer, G. Schmeisser and R.L. Stens:
    An introduction to sampling analysis
    In: Nonuniform Sampling, Theory and Practice (F. Marvasti, ed.), Kluwer Academic/Plenum Publishers, New York, 2001, 17-121

Bücher:

  1. P.L. Butzer, R.L. Stens, and B. Sz-Nagy (eds.):
    Anniversary Volume on Approximation Theory and Functional Analysis
    Proc. Conf., Oberwolfach, Germany, 1983
    ISNM, vol. 65, Birkhäuser Verlag, Basel, 1984
     
  2. J.R. Higgins and R.L. Stens (eds.):
    Sampling Theory in Fourier and Signal Analysis: Advanced Topics
    Clarendon Press, Oxford, 1999


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