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A Generalization of the Theorem of Hardy: A Most General Version of the Uncertainty Principle for Fourier Integrals

✍ Scribed by Christian Pfannschmidt

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
406 KB
Volume
182
Category
Article
ISSN
0025-584X

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✦ Synopsis

N . WIENER remarked that a non-identically vanishing real function and its Fourier transform cannot both decay "very fast". It was HAR.DY who specified and proved this assertion in 1933. In the present paper Hardy's theorem will be generalized. Moreover, it will be shown that further weakening of these assumptions does not make sense.

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