Spectral method for deriving multivariate Poisson summation formulae
type: Item
instance of: scholarly article
title: Spectral method for deriving multivariate Poisson summation formulae
zbMATH Open document ID: 1276.47062
published in: Communications on Pure and Applied Analysis
publication date: 2013-04-30T00:00:00Z
review text: The author derives some analogues of the classical multivariate Poisson summation formula by means of spectral theory of a finite family of pairwise commuting Laplace operators and the spectral properties of the periodic Laplace operator.
reviewed by: Dian K. Palagachev
Mathematics Subject Classification ID: 47F05
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35P10
zbMATH DE Number: 6159432
zbMATH Keywords: commuting Laplace operators
zbMATH Keywords: joint spectral resolution
zbMATH Keywords: eigenvalue
zbMATH Keywords: eigenfunction
zbMATH Keywords: Poisson summation formula
author: Gusein Sh. Guseinov
MaRDI profile type: Publication
full work available at URL: cpaa.2013.12.359
OpenAlex ID: W2326142155
DOI: 10.3934/CPAA.2013.12.359
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description: scientific article; zbMATH DE number 6159432