An application of spectral theory of the Laplace operator
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Date
2013
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Publisher
Taylor & Francis Ltd
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
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Citation
1
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Source
Volume
58
Issue
3
Start Page
363
End Page
371