On the Duality of Regular and Local Functions

On the Duality of Regular and Local Functions

In this paper, we relate Poisson’s summation formula to Heisenberg’s uncertainty principle. They both express Fourier dualities within the space of tempered distributions and these dualities are also inverse of each other. While Poisson’s summation formula expresses a duality between discretization...

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Bibliographic Details
Main Author: Jens V. Fischer
Format: Article
Language:English
Published: MDPI AG 2017-08-01
Series:Mathematics
Subjects:
generalized functions
tempered distributions
regular functions
local functions
regularization–localization duality
regularity
Heisenberg’s uncertainty principle
Online Access:https://www.mdpi.com/2227-7390/5/3/41

Internet

https://www.mdpi.com/2227-7390/5/3/41

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