Generalized localization of Fourier series with respect to the eigenfunctions of the Laplace operator in the classes \(L_ p\)

DOI10.1007/BF00973052zbMath0799.35169MaRDI QIDQ1175490

S. Singh

Publication date: 25 June 1992

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

generalized localization in \(L_ p\)

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Uniqueness and localization for orthogonal series (42C25)

Related Items (7)

On generalized localization of Fourier inversion for distributions ⋮ Generalized localization and summability almost everywhere of multiple Fourier series and integrals ⋮ On generalized localization of Fourier inversion associated with an elliptic operator for distributions ⋮ The generalized localization for multiple Fourier integrals ⋮ Generalized localization for spherical partial sums of multiple Fourier series ⋮ Generalized localization for spherical partial sums of multiple Fourier series ⋮ Generalized localization principle for continuous wavelet decompositions

Cites Work

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• Regularity and integrability of spherical means
• The multiplier problem for the ball

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