On Expansion in Eigenfungtions of Boundary Value Problems V

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Authors

DOI:

https://doi.org/10.18311/jims/1943/17157

Abstract

The present paper is concerned with the problem of absolute convergence of Fourier series of f(x, y) given by f(x,y)∼Σanωn(x,y)                             (1)

ωn(x,y) being the eigenfunctions of

Δω + μω = 0; ω(x,y) = 0 on C                                                        (2)

corresponding to the eigenvalues μn.