A problem of L. L. Campbell on the equivalence of the Kramer and Shannon sampling theorems

DOI10.1016/0898-1221(95)00118-2zbMath0861.41002OpenAlexW1986427495MaRDI QIDQ1904196

M. Genuit, G. Nasri-Roudsari

Publication date: 1 February 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00118-2

zbMATH Keywords

Bessel functionsJacobi functionssampling theorems

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Interpolation in approximation theory (41A05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Spherical harmonics (33C55)

Related Items

Kramer-type sampling theorems associated with higher-order differential equations ⋮ Fourier and Hankel bandlimited signal recovery

Cites Work

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• The continuous Jacobi transform
• The sampling theorem and linear prediction in signal analysis
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problems
• The finite continuous Jacobi transform and its inverse
• On Kramer’s Sampling Theorem Associated with General Sturm-Liouville Problems and Lagrange Interpolation
• The sampling series as a limiting case of lagrange interpolation
• On Lagrange Interpolation and Kramer-Type Sampling Theorems Associated with Sturm–Liouville Problems
• The Continuous (α, β)-Jacobi Transform and its Inverse when α+ β+ 1 is a Positive Integer
• A Comparison of the Sampling Theorems of Kramer and Whittaker
• On the equivalence of Kramer's and Shannon's sampling theorems (Corresp.)
• A Generalized Sampling Theorem

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