On Expansion in Eigenfunctions of Boundary Value Problems III (The Summability Problem)


Abstract

The scope of this paper is to solve a problem raised by me in Paper I, of the same title.

Let D be a bounded open domain, simply or multiply connected, whose boundary C is composed of a finite number of regular curves in the (x,y) plane, and let wn(x,y) be the complete normal orthogonal eigenfunctions with the eigenvalues μn>0, n=1, 2,...of the boundary value problem.


Subject Discipline

Mathematical Sciences

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