An Application of Spectral Theory of the Laplace Operator
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Date
2013
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis Ltd
Open Access Color
Green Open Access
No
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Publicly Funded
No
Abstract
We describe the structure of arbitrary rapidly decreasing functions of the Laplace operator. Combining this with the spectral data of the periodic Laplace operator we develop a generalization of the classical Poisson summation formula.
Description
Keywords
Laplace operator, spectral projection, eigenvalue, eigenfunction, Poisson summation formula, 35J05, 35P05, 35P10
Turkish CoHE Thesis Center URL
Fields of Science
0301 basic medicine, 0303 health sciences, 03 medical and health sciences
Citation
WoS Q
Q3
Scopus Q
Q3

OpenCitations Citation Count
1
Source
Complex Variables and Elliptic Equations
Volume
58
Issue
3
Start Page
363
End Page
371
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Citations
CrossRef : 1
Scopus : 1
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Mendeley Readers : 1
SCOPUS™ Citations
1
checked on Jan 24, 2026
Web of Science™ Citations
1
checked on Jan 24, 2026
Page Views
5
checked on Jan 24, 2026
Google Scholar™

OpenAlex FWCI
0.46114292
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