Abstract
It is known [7] that dualizing a form of the Poisson summation formula yields a pair of linear transformations which map a function φ of one variable into a function and its cosine transform in a generalized sense. The present work presents conditions on φ 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.
Original language | English (US) |
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Pages (from-to) | 487-497 |
Number of pages | 11 |
Journal | Journal of Fourier Analysis and Applications |
Volume | 3 |
Issue number | 5 |
DOIs | |
State | Published - 1997 |
Keywords
- Dual
- Fourier transform
- Poisson summation formula