A sampling theorem related to the Wilson transform

DOI10.1080/10236190701698015zbMath1142.33008OpenAlexW2056716156MaRDI QIDQ3499051

Fethi Bouzeffour

Publication date: 19 May 2008

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190701698015

zbMATH Keywords

difference operatorssampling theoremWilson functionsWilson transform

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Difference operators (39A70) Elliptic functions and integrals (33E05) Sampling theory in information and communication theory (94A20)

Cites Work

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• Associated Wilson polynomials
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• \(q\)-Taylor theorems, polynomial expansions, and interpolation of entire functions.
• The finite continuous Jacobi transform and its inverse
• Interpolation of entire functions, product formula for basic sine function
• Two Families of Associated Wilson Polynomials
• A Whittaker-Shannon-Kotelnikov sampling theorem related to the Askey-Wilson functions
• Some Hypergeometric Orthogonal Polynomials
• Some Summation Theorems and Transformations for Q-Series
• Beta-integrals and finite orthogonal systems of Wilson polynomials
• A Comparison of the Sampling Theorems of Kramer and Whittaker

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