Spectral Method for Deriving Multivariate Poisson Summation Formulae
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Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
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Abstract
We show that using spectral theory of a finite family of pair-wise commuting Laplace operators and the spectral properties of the periodic Laplace operator some analogues of the classical multivariate Poisson summation formula can be derived.
Description
Keywords
Commuting Laplace operators, joint spectral resolution, eigenvalue, eigenfunction, Poisson summation formula
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Q2
Scopus Q
Q3
OpenCitations Citation Count
1
Source
Communications on Pure and Applied Analysis
Volume
12
Issue
1
Start Page
359
End Page
373
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Citations
CrossRef : 1
Scopus : 1
SCOPUS™ Citations
1
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Web of Science™ Citations
1
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2
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