A Whittaker-Shannon-Kotelnikov sampling theorem related to the Askey-Wilson functions

DOI10.2991/jnmp.2007.14.3.6zbMath1163.33306OpenAlexW2131860286MaRDI QIDQ3607662

Fethi Bouzeffour

Publication date: 26 February 2009

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2007.14.3.6

zbMATH Keywords

sampling theorysignal analysisShannon's theorem

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Sampling theory in information and communication theory (94A20)

Related Items

A sampling theorem related to the Wilson transform ⋮ Basic Fourier transform on the space of entire functions of logarithm order 2 ⋮ The finite continuous nonsymmetric Jacobi transform and applications ⋮ A Paley-Wiener theorem for the Askey-Wilson function transform ⋮ A 𝑞-sampling theorem and product formula for continuous 𝑞-Jacobi functions

Cites Work

• \(q\)-Taylor theorems, polynomial expansions, and interpolation of entire functions.
• Applications of \(q\)-Taylor theorems
• A 𝑞-sampling theorem related to the 𝑞-Hankel transform
• A 𝑞-sampling theorem and product formula for continuous 𝑞-Jacobi functions
• Interpolation of entire functions, product formula for basic sine function
• Some orthogonal very well poised -functions
• Some Summation Theorems and Transformations for Q-Series
• A 𝑞-analogue of the Whittaker-Shannon-Kotel’nikov sampling theorem
• The Askey–Wilson polynomials and q-Sturm–Liouville problems
• Some orthogonal very-well-poised \(_8\varphi_7\)-functions that generalize Askey-Wilson polynomials
• Unnamed Item
• Unnamed Item

This page was built for publication: A Whittaker-Shannon-Kotelnikov sampling theorem related to the Askey-Wilson functions