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On Generalized Localization of Fourier Inversion Associated with an Elliptic Operator for Distributions.

Authors :
Ashurov, Ravshan
Butaev, Almaz
Pradhan, Biswajeet
Source :
Abstract & Applied Analysis; 2012, p1-13, 13p
Publication Year :
2012

Abstract

We study the behavior of Fourier integrals summed by the symbols of elliptic operators and pointwise convergence of Fourier inversion. We consider generalized localization principle which in classical L<subscript>p</subscript> spaces was investigated by Sjölin (1983), Carbery and Soria (1988, 1997) and Alimov (1993). Proceeding these studies, in this paper, we establish sharp conditions for generalized localization in the class of finitely supported distributions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10853375
Database :
Complementary Index
Journal :
Abstract & Applied Analysis
Publication Type :
Academic Journal
Accession number :
85039693
Full Text :
https://doi.org/10.1155/2012/649848