Asymptotic behaviour of the spectra of integral convolution operators on a finite interval with homogeneous polar kernels

DOI10.1070/IM2003v067n04ABEH000443zbMath1068.45002OpenAlexW2009341772MaRDI QIDQ4674604

B. V. Pal'tsev

Publication date: 17 May 2005

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2003v067n04abeh000443

zbMATH Keywords

singular pointseigenvaluesasymptoticeigenfunctionsystem of integral equationsintegral convolution operatorsFourier-Laplace imagesHilbert linear conjugation problemhomogeneous polar kernelsMellin images

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Boundary value problems in the complex plane (30E25) Asymptotics of solutions to integral equations (45M05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Eigenvalue problems for integral equations (45C05)

Related Items (9)

О решении уравнения свертки с суммарно-разностным ядром ⋮ On eigenfunctions of a convolution operator on a finite interval for which the Fourier image of the kernel is the characteristic function ⋮ Singular Riemann-Hilbert problem in complex-shaped domains ⋮ Spectrum and eigenfunctions of the convolution operator on a finite interval with kernel whose transform is a characteristic function ⋮ \( L_2\)-small ball asymptotics for Gaussian random functions: a survey ⋮ On asymptotics of the spectrum of an integral operator with a logarithmic kernel of a special form ⋮ Mixed fractional Brownian motion: a spectral take ⋮ Sharp asymptotics in a fractional Sturm-Liouville problem ⋮ On the asymptotic behavior of eigenvalues and eigenfunctions of an integral convolution operator with a logarithmic kernel on a finite interval

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