On dualizing a multivariable Poisson summation formula |
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| Authors: | Richard J Duffin Hans F Weinberger |
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| Institution: | (1) Department of Mathematics, Carnegie-Mellon University, 15213 Pittsburgh, PA;(2) School of Mathematics, University of Minnesota, 55455 Minneapolis, MN |
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| Abstract: | It is known 7] that dualizing a form of the Poisson summation formula yields a pair of linear transformations which map a function ø of one variable into a function and its cosine transform in a generalized sense. The present work presents conditions on ø for which the transform relation holds in the classical sense, and extends this result to a class of generalizations of the Poisson formula in any number of dimensions. |
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| Keywords: | 42B99 42A99 |
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