A generalization of the exponential sampling series and its approximation properties (original) (raw)

The exponential sampling theorem of signal analysis

Paul L Butzer

1998

View PDFchevron_right

The Exponential Sampling Theorem of Signal Analysis and the Reproducing Kernel Formula in the Mellin Transform Setting

Paul L Butzer

Sampling Theory, Signal Processing, and Data Analysis

View PDFchevron_right

The Summation Formulae of Euler–Maclaurin, Abel–Plana, Poisson, and their Interconnections with the Approximate Sampling Formula of Signal Analysis

Paul L Butzer, R. Stens, Gerhard Schmeisser

Results in Mathematics, 2011

View PDFchevron_right

The Euler-MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis

Paul L Butzer, R. Stens

Linear Algebra and its Applications, 1983

View PDFchevron_right

The sampling theorem, Poisson's summation formula, general Parseval formula, reproducing kernel formula and the Paley–Wiener theorem for bandlimited signals – their interconnections

Paul L Butzer, R. Stens, Gerhard Schmeisser

Applicable Analysis, 2011

View PDFchevron_right

Exponential sampling with a multiplier

Gerhard Schmeisser

Sampling Theory, Signal Processing, and Data Analysis

View PDFchevron_right

The classical and approximate sampling theorems and their equivalence for entire functions of exponential type

Paul L Butzer, R. Stens, Gerhard Schmeisser

Journal of Approximation Theory, 2014

View PDFchevron_right

Irregular sampling theorems and series expansions of band-limited functions

Hans Feichtinger

Journal of Mathematical Analysis and Applications, 1992

View PDFchevron_right

Mellin Analysis And Exponential Sampling. Part I: Mellin Fractional Integrals

Paul L Butzer

2013

View PDFchevron_right

On approximation of functions by exponential sums

Lucas Monzon

Applied and Computational Harmonic Analysis, 2005

View PDFchevron_right

A modification of the Whittaker-Kotelnikov-Shannon sampling series

Paul L Butzer, R. Stens

Aequationes Mathematicae, 1985

View PDFchevron_right

Approximation of continuous and discontinuous functions by generalized sampling series

Paul L Butzer, R. Stens

Journal of Approximation Theory, 1987

View PDFchevron_right

Extension of sampling theorem for wave equations

Tjundewo Lawu

Acoustical Science and Technology, 2003

View PDFchevron_right

Derivative uniform sampling via Weierstraß σ(z). Truncation error analysis in [2, π q/(2s^2))

Tibor Pogany

Georgian Mathematical Journal

View PDFchevron_right

Approximation by exponential sums revisited

Lucas Monzon

Applied and Computational Harmonic Analysis, 2010

View PDFchevron_right

Multidimensional of gradually series band limited functions and frames

IJERS JOURNAL

View PDFchevron_right

Derivative Uniform Sampling via Weierstrass σ(z). Truncation Error Analysis in

Tibor Pogany

gmj, 2001

View PDFchevron_right

A Whittaker-Shannon-Kotel’nikov sampling theorem related to the Askey-Wilson functions

Juan Varona

Journal of Nonlinear Mathematical Physics, 2007

View PDFchevron_right

Finite sampling approximations for non-band-limited signals

Muhammad Habib

IEEE Transactions on Information Theory, 1982

View PDFchevron_right

Approximation of the exponential integral (well function) using sampling methods

Husam Baalousha

Journal of Hydrology, 2015

View PDFchevron_right

Nonuniform sampling of bandlimited signals with polynomial growth on the real axis

Ahmed Zayed

IEEE Transactions on Information Theory, 1997

View PDFchevron_right

Functions in sampling spaces

Carlos Cabrelli

arXiv preprint math/0505147, 2005

View PDFchevron_right

The approximation of functions from by Fourier–Laplace series

Anvarjon Ahmedov

Journal of Computational and Applied Mathematics, 2012

View PDFchevron_right

Sampling and interpolating sequences for multiband-limited functions and exponential bases on disconnected sets

Yurii Lyubarskii

The Journal of Fourier Analysis and Applications, 1997

View PDFchevron_right

On two-dimensional classical and Hermite sampling

Rashad M Asharabi

IMA Journal of Numerical Analysis

View PDFchevron_right

Mellin analysis and its basic associated metric—applications to sampling theory

Gerhard Schmeisser

Analysis Mathematica, 2016

View PDFchevron_right

Mellin Analysis and its distance concept. Applications to sampling theory

Gerhard Schmeisser

arXiv: Functional Analysis, 2016

View PDFchevron_right

New Perspectives on Approximation and Sampling Theory

Gerhard Schmeisser

Applied and Numerical Harmonic Analysis, 2014

View PDFchevron_right

Fresnel transform and sampling theorem

Franco Gori

Optics Communications, 1981

View PDFchevron_right

A Whittaker-Shannon-Kotel'nikov sampling theorem related to the Dunkl transform on the real line

Juan Varona

Proceedings of the American Mathematical Society, 2007

View PDFchevron_right