A reconstruction formula for band limited functions in $L_2(R^d)$

DOI10.1090/S0002-9939-99-04938-2zbMath0998.42024OpenAlexW1844938566MaRDI QIDQ4268917

Isaac Z. Pesenson

Publication date: 28 October 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04938-2

zbMATH Keywords

Fourier transformPaley-Wiener samplingreconstruction formulaShannon-Whittaker samplingirregular samplingband limited function

Mathematics Subject Classification ID

Related Items (12)

An uncertainty principle and sampling inequalities in Besov spaces ⋮ An estimate for multivariate interpolation. II ⋮ Band limited functions on quantum graphs ⋮ Convergence and Regularization of Sampling Series ⋮ Harmonic Analysis in Non-Euclidean Spaces: Theory and Application ⋮ Plancherel--Polya-type inequalities for entire functions of exponential type in \(L_{p}(\mathbb R^{d})\) ⋮ Necessary density conditions for sampling and interpolation in spectral subspaces of elliptic differential operators ⋮ Sampling in Paley-Wiener spaces on combinatorial graphs ⋮ Poincaré-type inequalities and reconstruction of Paley-Wiener functions on manifolds ⋮ SAMPLING SEQUENCES OF COMPACTLY SUPPORTED DISTRIBUTIONS IN L_p(R) ⋮ Geometric space-frequency analysis on manifolds ⋮ Variational splines and Paley-Wiener spaces on Combinatorial graphs

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