On Generalized Localization of Fourier Inversion Associated with an Elliptic Operator for Distributions
Joint Authors
Pradhan, Biswajeet
Ashurov, Ravshan
Butaev, Almaz
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-26
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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).
Proceeding these studies, in this paper, we establish sharp conditions for generalized localization in the class of finitely supported distributions.
American Psychological Association (APA)
Ashurov, Ravshan& Butaev, Almaz& Pradhan, Biswajeet. 2012. On Generalized Localization of Fourier Inversion Associated with an Elliptic Operator for Distributions. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-488184
Modern Language Association (MLA)
Ashurov, Ravshan…[et al.]. On Generalized Localization of Fourier Inversion Associated with an Elliptic Operator for Distributions. Abstract and Applied Analysis No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-488184
American Medical Association (AMA)
Ashurov, Ravshan& Butaev, Almaz& Pradhan, Biswajeet. On Generalized Localization of Fourier Inversion Associated with an Elliptic Operator for Distributions. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-488184
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488184
