A GENERALIZATION OF THE THEOREM OF HARDY - A MOST GENERAL VERSION OF THE UNCERTAINTY PRINCIPLE FOR FOURIER INTEGRALS

Authors
PFANNSCHMIDT C
Citation
C. Pfannschmidt, A GENERALIZATION OF THE THEOREM OF HARDY - A MOST GENERAL VERSION OF THE UNCERTAINTY PRINCIPLE FOR FOURIER INTEGRALS, Mathematische Nachrichten, 182, 1996, pp. 317-327
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
182
Year of publication
1996
Pages
317 - 327
Database
ISI
SICI code
0025-584X(1996)182:<317:AGOTTO>2.0.ZU;2-U
Abstract
N. WIENER, remarked that a non-identically vanishing real function and its Fourier transform cannot both decay ''very fast''. It was HARDY w ho specified and proved this assertion in 1933. In the present paper H ardy's theorem will be generalized. Moreover, it will be shown that fu rther weakening of these assumptions does not make sense.