A new role of Green's function in interpolation and sampling theory

DOI10.1006/jmaa.1993.1164zbMath0774.34020OpenAlexW2092747640MaRDI QIDQ2367779

Ahmed I. Zayed

Publication date: 15 August 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1993.1164

zbMATH Keywords

Fourier transformsintegral transformsGreen's functionKramer's sampling theoremWhittaker-Shannon-Kotel'nikov sampling theoreminterpolation and sampling theorynon-self-adjoint boundary- value problem with repeated eigenvalues and eigenfunctionsself-adjoint boundary-value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Trigonometric interpolation (42A15) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Green's functions for ordinary differential equations (34B27) Numerical methods for integral transforms (65R10) Communication, information (94A99) Interpolation in approximation theory (41A05)

Related Items (12)

Sampling theorems and difference sturm—liouville problems ⋮ On sampling theory associated with the resolvents of singular Sturm-Liouville problems ⋮ Sampling expansions for functions having values in a Banach space ⋮ One and multidimensional sampling theorems associated with Dirichlet problems ⋮ Sampling theorem associated with a Dirac operator and the Hartley transform ⋮ Kramer-type sampling theorems associated with higher-order differential equations ⋮ Sampling of vector-valued transforms associated with Green's matrix of Dirac systems ⋮ Sampling theorem by Greens function \\ in a space ofvector-functions ⋮ The plaey-wiener-levinson theorem and the computation of strum-liouville eigenvalues: irregular sampling ⋮ Kramer's sampling theorem with discontinuous kernels ⋮ On the use of Green's function in sampling theory ⋮ Discontinuous boundary-value problems: expansion and sampling theorems

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