POISSON SUMMATION FORMULA ASSOCIATED WITH THE FRACTIONAL LAPLACE TRANSFORM
Journal Title: Journal of Science And Arts - Year 2013, Vol 23, Issue 2
Abstract
The linear canonical transform is four parameterized integral transform, which is an important tool in signal processing and optics. The application of linear canonical transform in quantum mechanics has focused attention on its complex extension. Fractional Laplace transform is a special case of complex linear canonical transform. The present paper investigates the generalized Poisson’s summation formula for the Laplace domain and used it to derive Poisson’s summation formula for the fractional Laplace transform of the periodic functions of compact support. Then some new results associated with this novel formula have been presented.
Authors and Affiliations
PRABHAKAR DESHMUKH, ALKA GUDADHE
Keywords
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