On Generalized Localization of Fourier Inversion Associated with an Elliptic Operator for Distributions-Reference-Cited by-同舟云学术

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

Published:2012 Issue: Volume:2012 Page:1-13
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Ashurov Ravshan¹,Butaev Almaz²³,Pradhan Biswajeet²³

Affiliation:

1. Institute of Mathematics, National University of Uzbekistan, Hodjaeva Street 29, Tashkent 100125, Uzbekistan

2. Institute of Advanced Technology (ITMA), University Putra Malaysia, 43400 Serdang, Selangor, Malaysia

3. Department of Civil Engineering, Faculty of Engineering, Geospatial, Information Science Center (GIS RC), University Putra Malaysia (UPM), 43400 Serdang, Selangor, Malaysia

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 classicalLpspaces 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.

Funder

RUGS

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/649848.pdf

Reference20 articles.

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