Spectral method for deriving multivariate Poisson summation formulae (Q1948049)

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scientific article; zbMATH DE number 6159432
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Spectral method for deriving multivariate Poisson summation formulae
scientific article; zbMATH DE number 6159432

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    Spectral method for deriving multivariate Poisson summation formulae (English)
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    30 April 2013
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    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.
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    commuting Laplace operators
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    joint spectral resolution
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    eigenvalue
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    eigenfunction
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    Poisson summation formula
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