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Salem’s Conditions in the Nonperiodic Case.

Authors :
Liflyand, E. R.
Source :
Mathematical Notes. Sep2018, Vol. 104 Issue 3/4, p437-442. 6p.
Publication Year :
2018

Abstract

Salem’s necessary conditions for a trigonometric series to be the Fourier series of an integrable function are generalized to the nonperiodic case for functions in the Wiener algebra. Applications of the obtained result are given. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*TRIGONOMETRIC functions
*FOURIER series
*MATHEMATICAL analysis
*INTEGRALS
*GENERALIZATION

Details

Language :
English
ISSN :
00014346
Volume :
104
Issue :
3/4
Database :
Academic Search Index
Journal :
Mathematical Notes
Publication Type :
Academic Journal
Accession number :
133056055
Full Text :
https://doi.org/10.1134/S0001434618090110
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