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 \(N\) -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.