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Fourier transform versus Hilbert transform.

Authors :
Liflyand, Elijah
Source :
Journal of Mathematical Sciences. Nov2012, Vol. 187 Issue 1, p49-56. 8p.
Publication Year :
2012

Abstract

Certain relations between the Fourier transform of a function and the Hilbert transform of its derivative are revealed. They concern the integrability/non-integrability of both transforms. Certain applications are discussed. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*FOURIER transforms
*HILBERT transform
*MATHEMATICAL functions
*HARDY spaces
*MATHEMATICAL analysis
*NUMERICAL integration

Details

Language :
English
ISSN :
10723374
Volume :
187
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
82672130
Full Text :
https://doi.org/10.1007/s10958-012-1048-0
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