In this paper we study convergence and summability problems of the series associated with the Laplace-Beltrami operator on the unique sphere. These series known as Fourier-Laplace series and we study the behaviour of these series in the different spaces of smooth functions with respect number of topologies.
Topics
Operator theory
REFERENCES
1.
2.
3.
4.
5.
A.
Akhmedov
, A.F.
Nurullah
, and A.A.
Rakhimov
, Malaysian Journal of Mathematical Sciences.
7
, 2
(2013
).6.
7.
8.
A.A.
Rakhimov
, J. Mathematical Notes.
59
, 3
–4
(1996
).9.
10.
11.
A.A.
Rakhimov
, Abstract and Applied Analysis.
731249
(2011
).12.
13.
A.F.N
Rasedee
, Abdumalik
Rakhimov
, and Anvarjon A.
Ahmedov
, AIP Conference Proceedings.
1830
, 070006
(2017
).14.
H.
Triebel
, Interpolation Theory, Function Spaces, Differential Operators
(Springer Fachmedien Wiesbaden Berlin
, 1978
), pp.1
–308
.15.
16.
E.M.
Stein
, and G.
Weiss
, Introduction to Fourier Analysis on Euclidean Spaces
, (Princeton
, 1971
), pp. 1
–230
.
This content is only available via PDF.
©2023 Authors. Published by AIP Publishing.
2023
Author(s)
You do not currently have access to this content.