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...
| Main Author: | |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English English |
| Published: |
IOP Publishing Ltd.
2018
|
| Subjects: | |
| Online Access: | http://irep.iium.edu.my/64162/ http://irep.iium.edu.my/64162/ http://irep.iium.edu.my/64162/ 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 |
| id |
iium-64162 |
|---|---|
| recordtype |
eprints |
| spelling |
iium-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 |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
International Islamic University Malaysia |
| building |
IIUM Repository |
| collection |
Online Access |
| 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/ http://irep.iium.edu.my/64162/ http://irep.iium.edu.my/64162/ 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 |
| first_indexed |
2023-09-18T21:31:00Z |
| last_indexed |
2023-09-18T21:31:00Z |
| _version_ |
1777412509837295616 |