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Localization of the spectral expansions associated with the partial differential operators

In this paper we discuss precise conditions of the summability and localization of the spectral expansions associated with various partial differential operators. In this we study the problems in the spaces of both smooth functions and singular distributions. We study spectral expansions of the dist...

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Main Author: Rakhimov, Abdumalik
Format: Book Chapter
Language:English
Published: Springer, Cham 2018
Subjects:
QA300 Analysis
TK7885 Computer engineering
Online Access:http://irep.iium.edu.my/76499/1/76499_Localization%20of%20the%20Spectral%20Expansions%20_complete_new.pdf
http://irep.iium.edu.my/76499/
https://link.springer.com/chapter/10.1007/978-3-319-91065-9_11
https://doi.org/10.1007/978-3-319-91065-9
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spelling my.iium.irep.764992020-08-06T07:10:59Z http://irep.iium.edu.my/76499/ Localization of the spectral expansions associated with the partial differential operators Rakhimov, Abdumalik QA300 Analysis TK7885 Computer engineering In this paper we discuss precise conditions of the summability and localization of the spectral expansions associated with various partial differential operators. In this we study the problems in the spaces of both smooth functions and singular distributions. We study spectral expansions of the distributions with the compact support and classify the distributions with the Sobolev spaces. All theorems are formulated in terms of the smoothness and degree of the regularizations. Springer, Cham 2018-08-21 Book Chapter PeerReviewed application/pdf en http://irep.iium.edu.my/76499/1/76499_Localization%20of%20the%20Spectral%20Expansions%20_complete_new.pdf Rakhimov, Abdumalik (2018) Localization of the spectral expansions associated with the partial differential operators. In: Mathematical Methods in Engineering : Theoretical Aspects. Nonlinear Systems and Complexity (23). Springer, Cham, Switzerland AG, pp. 217-233. ISBN 978-3-319-91064-2 https://link.springer.com/chapter/10.1007/978-3-319-91065-9_11 https://doi.org/10.1007/978-3-319-91065-9
institution Universiti Islam Antarabangsa Malaysia
building IIUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider International Islamic University Malaysia
content_source IIUM Repository (IREP)
url_provider http://irep.iium.edu.my/
language English
topic QA300 Analysis
TK7885 Computer engineering
spellingShingle QA300 Analysis
TK7885 Computer engineering
Rakhimov, Abdumalik
Localization of the spectral expansions associated with the partial differential operators
description In this paper we discuss precise conditions of the summability and localization of the spectral expansions associated with various partial differential operators. In this we study the problems in the spaces of both smooth functions and singular distributions. We study spectral expansions of the distributions with the compact support and classify the distributions with the Sobolev spaces. All theorems are formulated in terms of the smoothness and degree of the regularizations.
format Book Chapter
author Rakhimov, Abdumalik
author_facet Rakhimov, Abdumalik
author_sort Rakhimov, Abdumalik
title Localization of the spectral expansions associated with the partial differential operators
title_short Localization of the spectral expansions associated with the partial differential operators
title_full Localization of the spectral expansions associated with the partial differential operators
title_fullStr Localization of the spectral expansions associated with the partial differential operators
title_full_unstemmed Localization of the spectral expansions associated with the partial differential operators
title_sort localization of the spectral expansions associated with the partial differential operators
publisher Springer, Cham
publishDate 2018
url http://irep.iium.edu.my/76499/1/76499_Localization%20of%20the%20Spectral%20Expansions%20_complete_new.pdf
http://irep.iium.edu.my/76499/
https://link.springer.com/chapter/10.1007/978-3-319-91065-9_11
https://doi.org/10.1007/978-3-319-91065-9
_version_ 1675327142176489472
score 13.209306

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