General methods for the derivation of sampling theorems

DOI10.1109/TIT.1967.1053976zbMath0148.40506OpenAlexW2095969217MaRDI QIDQ5527523

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Publication date: 1967

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tit.1967.1053976

zbMATH Keywords

integral representationderivation of sampling expansions

Mathematics Subject Classification ID

Sampling theory in information and communication theory (94A20)

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On sampling theory associated with the resolvents of singular Sturm-Liouville problems ⋮ On sampling theory and basic Sturm-Liouville systems ⋮ One and multidimensional sampling theorems associated with Dirichlet problems ⋮ Sampling of vector-valued transforms associated with Green's matrix of Dirac systems ⋮ Generalized interpolation, sampling expressions, and their relationship ⋮ On Lagrange interpolations and Kramer's sampling theorem associated with self-adjoint boundary value problems ⋮ On Green's function of two-parameter problems and sampling theory ⋮ A perturbed Whittaker-Kotel'nikov-Shannon sampling theorem ⋮ A sampling theorem for transforms with discontinuous kernels ⋮ Discontinuous boundary-value problems: expansion and sampling theorems ⋮ SAMPLING AND BIRKHOFF REGULAR PROBLEMS

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