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English version
Prof. Dr. Rudolf Stens
Publikationen (Auswahl)
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 Spec. Funct. 19 (2008), no. 1-2, 35-58.
C. Bardaro, P.L. Butzer, R.L. Stens, and G. Vinti:
Kantorovich-type generalized sampling series in the setting of Orlicz spaces.
Sampl. Theory Signal Image Process. 6 (2007), no. 1, 29-52.
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), no. 1, 269-306.
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), no. 2, 250-263.
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. III, Palermo 2004, pp. 421-453.
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 (Munich) 23 (2003), no. 4, 299-340.
B. Ohligs and R.L. Stens:
Sampling and quasi-sampling in rotation invariant Paley-Wiener spaces.
In: Trends in Industrial and Applied Mathematics,
Proc. Conf., Amritsar, India, 2001 (A.H. Siddiqi and M. Kočvara, eds.), Appl. Optim., 72, Kluwer Acad. Publ., Dordrecht, 2002, pp.??? 77-91.
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.
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.
U. Hettich and R.L. Stens:
Approximating a bandlimited function
in terms of its samples
Comput. Math. Appl. 40 (2000), 107-116.
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, pp. ?????.
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.
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.
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.
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.
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.
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.
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.
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.
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.
P.L. Butzer and R.L. Stens:
A modification of the
Whittaker-Kotelnikov-Shannon sampling series
Aequationes Math. 28 (1985), 305-311.
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.
Bücher:
J.R. Higgins and R.L. Stens (eds.): Sampling Theory in Fourier and Signal
Analysis: Advanced Topics
Clarendon Press, Oxford, 1999
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
English version
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