The Journal of the Indian Mathematical Society

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


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1 Madras, India
     

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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.


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

Abstract Views: 192  |  PDF Views: 0

Authors

S. Minakshisundaram
Madras, India

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.