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

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 Lp spaces was investigated by Sjölin (1983), Carbery and Soria (1988, 1997) and Alimov (1993). Proc...

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Bibliographic Details
Published in:Abstract and Applied Analysis
Main Authors: Ravshan Ashurov, Almaz Butaev, Biswajeet Pradhan
Format: Article
Language:English
Published: Wiley 2012-01-01
Online Access:http://dx.doi.org/10.1155/2012/649848