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
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Annotatsiya
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.
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