Summabilty of the Fourier-Laplace series in the Nikol’skii spaces

Summabilty of the Fourier-Laplace series in the Nikol’skii spaces

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 top...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser: Rakhimov, Abdumalik
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Fourier series
Topology
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Beschreibung
Zusammenfassung: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.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0166088