On the Duality of Discrete and Periodic Functions

On the Duality of Discrete and Periodic Functions

Although versions of Poisson’s Summation Formula (PSF) have already been studied extensively, there seems to be no theorem that relates discretization to periodization and periodization to discretization in a simple manner. In this study, we show that two complementary formulas, both closely related...

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Bibliographic Details
Main Author: Jens V. Fischer
Format: Article
Language:English
Published: MDPI AG 2015-04-01
Series:Mathematics
Subjects:
Poisson Summation Formula, discreteness, periodicity, sampling, replicating, Schwartz space, tempered distributions, generalized functions, discrete functions
Online Access:http://www.mdpi.com/2227-7390/3/2/299

Internet

http://www.mdpi.com/2227-7390/3/2/299

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