On Eigenfunction Expansions of Continuous Functions Associated with B-Elliptic Operators

The paper considers the conditions of Riesz summability of spectral decompositions associated with the elliptic Bessel operator in an arbitrary -dimensional domain adjacent to the hypersurface of the singularity. Necessary and sufficient conditions for summability of decompositions of continuous fun...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2024, Vol.45 (9), p.4448-4458
Main Authors: Alimov, Sh. A., Pirmatov, Sh. T.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Continuity (mathematics)
Decomposition
Eigenvectors
Geometry
Hyperspaces
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Operators (mathematics)
Probability Theory and Stochastic Processes
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Summary:The paper considers the conditions of Riesz summability of spectral decompositions associated with the elliptic Bessel operator in an arbitrary -dimensional domain adjacent to the hypersurface of the singularity. Necessary and sufficient conditions for summability of decompositions of continuous functions on a given hypersurface are established.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080224603679