Paley-Wiener theorem for functions in Lp(ℝn)

In this paper we examine necessary and sufficient conditions on the sequences of norm of the derivatives of functions in such that their spectrum (the support of their Fourier transform) is contained in a given compact set in .

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Bibliographic Details
Published in:Integral transforms and special functions 2016-09, Vol.27 (9), p.715-730
Main Authors: Bang, Ha Huy, Huy, Vu Nhat
Format: Article
Language:English
Subjects:
Fourier transform
Fourier transforms
Real Paley-Wiener theorem
spaces
Online Access:Get full text
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Description
Summary:In this paper we examine necessary and sufficient conditions on the sequences of norm of the derivatives of functions in such that their spectrum (the support of their Fourier transform) is contained in a given compact set in .
ISSN:1065-2469
1476-8291
DOI:10.1080/10652469.2016.1190964