On the summability of the spectral expansions associated with the elliptic differential operators

In this paper we study the summability problems of the spectral expansions associated with the elliptic partial differential operators in the spaces of distributions. In particular, the problems studied for the Schrodinger operator with the singular potential. For this operator theorems on...

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Main Author: Rakhimov, Abdumalik
Format: Conference or Workshop Item
Language:English
English
Published: IOP Publishing Ltd. 2018
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http://iopscience.iop.org/article/10.1088/1742-6596/1132/1/012013/pdf
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Institution: Universiti Islam Antarabangsa Malaysia
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spelling my.iium.irep.641622019-07-16T01:52:41Z http://irep.iium.edu.my/64162/ On the summability of the spectral expansions associated with the elliptic differential operators Rakhimov, Abdumalik QA Mathematics In this paper we study the summability problems of the spectral expansions associated with the elliptic partial differential operators in the spaces of distributions. In particular, the problems studied for the Schrodinger operator with the singular potential. For this operator theorems on the summability of the Fourier expansions in the generalised Holder spaces and in the Sobolev spaces of the mixed norm proved. The conditions obtained are accurate in the classes of considered distributions. IOP Publishing Ltd. 2018-12-10 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/64162/7/64162%20On%20the%20summability%20of%20the%20spectral%20expansions.pdf application/pdf en http://irep.iium.edu.my/64162/13/64162%20On%20the%20summability%20of%20the%20spectral%20expansions_Scopus.pdf Rakhimov, Abdumalik (2018) On the summability of the spectral expansions associated with the elliptic differential operators. In: 3rd International Conference on Mathematical Sciences and Statistics, 6th–8th February 2018, Putrajaya. http://iopscience.iop.org/article/10.1088/1742-6596/1132/1/012013/pdf 10.1088/1742-6596/1132/1/012013
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
English
topic QA Mathematics
spellingShingle QA Mathematics
Rakhimov, Abdumalik
On the summability of the spectral expansions associated with the elliptic differential operators
description In this paper we study the summability problems of the spectral expansions associated with the elliptic partial differential operators in the spaces of distributions. In particular, the problems studied for the Schrodinger operator with the singular potential. For this operator theorems on the summability of the Fourier expansions in the generalised Holder spaces and in the Sobolev spaces of the mixed norm proved. The conditions obtained are accurate in the classes of considered distributions.
format Conference or Workshop Item
author Rakhimov, Abdumalik
author_facet Rakhimov, Abdumalik
author_sort Rakhimov, Abdumalik
title On the summability of the spectral expansions associated with the elliptic differential operators
title_short On the summability of the spectral expansions associated with the elliptic differential operators
title_full On the summability of the spectral expansions associated with the elliptic differential operators
title_fullStr On the summability of the spectral expansions associated with the elliptic differential operators
title_full_unstemmed On the summability of the spectral expansions associated with the elliptic differential operators
title_sort on the summability of the spectral expansions associated with the elliptic differential operators
publisher IOP Publishing Ltd.
publishDate 2018
url http://irep.iium.edu.my/64162/7/64162%20On%20the%20summability%20of%20the%20spectral%20expansions.pdf
http://irep.iium.edu.my/64162/13/64162%20On%20the%20summability%20of%20the%20spectral%20expansions_Scopus.pdf
http://irep.iium.edu.my/64162/
http://iopscience.iop.org/article/10.1088/1742-6596/1132/1/012013/pdf
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