Shannon sampling theorem via Poisson, Cauchy, Jacobi, and Levin

DOI10.1007/978-3-031-41130-4_8zbMATH Open1547.94207MaRDI QIDQ6608650

Stephen D. Casey

Publication date: 20 September 2024

zbMATH Keywords

Shannon sampling theorem

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Sampling theory in information and communication theory (94A20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• The summation formulae of Euler-Maclaurin, Abel-Plana, Poisson, and their interconnections with the approximate sampling formula of signal analysis
• Le problème de la deconvolution
• Inversion of the local Pompeiu transform
• A local version of the two-circles theorem
• Analytic Bezout identities
• The three-squares theorem for continuous functions
• Non-Liouville numbers and a theorem of Hörmander
• Residue currents and Bezout identities
• Nonperiodic sampling of bandlimited functions on unions of rectangular lattices.
• On the functions which are represented by the expansions of the interpolation-theory.
• Aliasing and Poisson summation in the sampling theory of Paley-Wiener spaces
• Finitely generated ideals in rings of analytic functions
• Interpolatory function theory.
• The Fourier integral and certain of its applications.
• Effective Bezout identities in \({\mathbb{Q}}[z_ 1,\dots ,z_ n\)]
• Five short stories about the cardinal series
• Sampling theorems and the contour integral method
• The Shannon sampling theorem—Its various extensions and applications: A tutorial review
• Une formule de Jacobi et ses conséquences
• Ten Lectures on Wavelets
• Generalized sampling expansion
• Systems of Convolution Equations, Deconvolution, Shannon Sampling, and the Wavelet and Gabor Transforms
• Orthogonal Sampling Formulas: A Unified Approach
• Sampling-50 years after Shannon
• Sampling Theory
• Adaptive Signal Processing
• Generators for some rings of analytic functions
• An Introduction to Distributions
• A Class of Nonharmonic Fourier Series

This page was built for publication: Shannon sampling theorem via Poisson, Cauchy, Jacobi, and Levin