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

Sh. A. AlimovNational University of Uzbekistan, Faculty of Mathematics, 100174, Tashkent, UzbekistanSh. T. PirmatovTashkent State Technical University, Faculty of Mechanical Engineering, 100095, Tashkent, Uzbekistan
Lobachevskii Journal of Mathematicsjournal2024en
ABI

Abstract

The paper considers the conditions of Riesz summability of spectral decompositions associated with the elliptic Bessel operator in an arbitrary $$N$$ -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.

Topics

Numerical methods in inverse problemsAdvanced Mathematical Modeling in EngineeringDifferential Equations and Boundary Problems

Identifiers

DOI
10.1134/s1995080224603679

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