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Spectral method for deriving multivariate Poisson summation formulae

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Publication:1948049
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DOI10.3934/cpaa.2013.12.359zbMath1276.47062OpenAlexW2326142155MaRDI QIDQ1948049

Gusein Sh. Guseinov

Publication date: 30 April 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.359

zbMATH Keywords

eigenvalueeigenfunctionPoisson summation formulajoint spectral resolutioncommuting Laplace operators


Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Spectrum, resolvent (47A10) General theory of partial differential operators (47F05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)


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On the functions of two commuting Laplace-Beltrami operators in hyperbolic space



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