Asymptotic behavior of the spectrum of a convolution operator on a finite interval with the transform of the integral kernel being a characteristic function

DOI10.1134/S0012266110100186zbMath1211.45011MaRDI QIDQ2429693

Alexei A. Polosin

Publication date: 1 April 2011

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorspectrumcompact operatorconvolution integral operatordifference kernel

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Integral operators (45P05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Eigenvalue problems for integral equations (45C05)

Related Items (2)

On eigenfunctions of a convolution operator on a finite interval for which the Fourier image of the kernel is the characteristic function ⋮ Spectrum and eigenfunctions of the convolution operator on a finite interval with kernel whose transform is a characteristic function

Cites Work

• Asymptotic Distribution of Eigenvalues of the Kernel in the Kirkwood-Riseman Integral Equation
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