Spectrum of partial integral operators with degenerate kernel

2015/04/10 by Y. K. Eshkavilov, Eshkavilov, Y. K., G. P. Arzikulov +3
Mathematics · #Differential Equations and Boundary Problems #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #math.FA

paper · pdf · doi:10.48550/arxiv.1504.02625

16 pages

arxiv created 2015/04/10 · arxiv updated 2015/04/13

Abstract

In the paper we consider self-adjoint partial integral operators of Fredholm type T with a degenerate kernel on the space L₂([a,b]×[c,d]). Essential and discrete spectra of T are described.

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