Cover Image

On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators

The spectral decompositions of elliptic operators are considered. An analogue of the Radimacher-Menchoff Theorem for general spectral expansions corresponding to a self-adjoint extension of elliptic operators is obtained. The theorem obtained allows us to obtain a result on the almost everywhere co...

Full description

Saved in:
Bibliographic Details
Main Authors: Ahmedov, Anvarjon A., Matarneh, Ehab, Mohammad Hasan, Abd Sathar
Format: Conference or Workshop Item
Language:English
Published: IOP Publishing 2019
Subjects:
T Technology (General)
Online Access:http://umpir.ump.edu.my/id/eprint/27531/13/On%20the%20generalized%20Radimacher-Menchof.pdf
http://umpir.ump.edu.my/id/eprint/27531/
https://doi.org/10.1088/1742-6596/1366/1/012067
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.ump.umpir.27531
record_format eprints
spelling my.ump.umpir.275312020-04-01T02:15:10Z http://umpir.ump.edu.my/id/eprint/27531/ On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators Ahmedov, Anvarjon A. Matarneh, Ehab Mohammad Hasan, Abd Sathar T Technology (General) The spectral decompositions of elliptic operators are considered. An analogue of the Radimacher-Menchoff Theorem for general spectral expansions corresponding to a self-adjoint extension of elliptic operators is obtained. The theorem obtained allows us to obtain a result on the almost everywhere convergence of the spectral decompositions from the Liouville classes. The estimation of the maximal operator corresponding to the spherical sums of multiple Fourier series from Liouville classes L α p (T N ), 1 ≤ p ≤ 2, is derived. IOP Publishing 2019 Conference or Workshop Item PeerReviewed pdf en cc_by http://umpir.ump.edu.my/id/eprint/27531/13/On%20the%20generalized%20Radimacher-Menchof.pdf Ahmedov, Anvarjon A. and Matarneh, Ehab and Mohammad Hasan, Abd Sathar (2019) On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators. In: Journal of Physics: Conference Series, 2nd International Conference on Applied & Industrial Mathematics and Statistics (ICoAIMS 2019), 23-25 July 2019 , Kuantan, Pahang, Malaysia. pp. 1-10., 1366 (012067). ISSN 1742-6596 https://doi.org/10.1088/1742-6596/1366/1/012067
institution Universiti Malaysia Pahang
building UMP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang
content_source UMP Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
topic T Technology (General)
spellingShingle T Technology (General)
Ahmedov, Anvarjon A.
Matarneh, Ehab
Mohammad Hasan, Abd Sathar
On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators
description The spectral decompositions of elliptic operators are considered. An analogue of the Radimacher-Menchoff Theorem for general spectral expansions corresponding to a self-adjoint extension of elliptic operators is obtained. The theorem obtained allows us to obtain a result on the almost everywhere convergence of the spectral decompositions from the Liouville classes. The estimation of the maximal operator corresponding to the spherical sums of multiple Fourier series from Liouville classes L α p (T N ), 1 ≤ p ≤ 2, is derived.
format Conference or Workshop Item
author Ahmedov, Anvarjon A.
Matarneh, Ehab
Mohammad Hasan, Abd Sathar
author_facet Ahmedov, Anvarjon A.
Matarneh, Ehab
Mohammad Hasan, Abd Sathar
author_sort Ahmedov, Anvarjon A.
title On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators
title_short On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators
title_full On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators
title_fullStr On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators
title_full_unstemmed On the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators
title_sort on the generalized radimacher-menchoff theorem for general spectral decomposition of the elliptic differential operators
publisher IOP Publishing
publishDate 2019
url http://umpir.ump.edu.my/id/eprint/27531/13/On%20the%20generalized%20Radimacher-Menchof.pdf
http://umpir.ump.edu.my/id/eprint/27531/
https://doi.org/10.1088/1742-6596/1366/1/012067
_version_ 1665894997417787392
score 13.211869

Similar Items