On the algebra of multidimensional integral operators with homogeneous \(SO(n)\) -invariant kernels and weakly radially oscillating coefficients

DOI10.1134/S0001434607070188zbMath1221.47086OpenAlexW2066075292MaRDI QIDQ635552

O. G. Avsyankin, V. M. Deundyak

Publication date: 20 August 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434607070188

zbMATH Keywords

Banach algebraFredholm propertyoperator algebraintegral operatorsindex of a Fredholm operatorlocally oscillating function

Mathematics Subject Classification ID

Integral operators (45P05) Integral operators (47G10)

Related Items (6)

Two-dimensional homogenous integral operators and singular operators with measurable coefficients in fibers ⋮ Multidimensional integral operators with homogeneous kernels of compact type and multiplicatively weakly oscillating coefficients ⋮ \(C^\ast\)-algebra generated by integral operators with homogeneous kernels and oscillating coefficients of various types ⋮ An algebra generated by multiplicative discrete convolution operators ⋮ On the solvability of integral operators with bihomogeneous kernels of the compact type and variable coefficients ⋮ Topological methods in solvability theory of multidimensional pair integral operators with homogeneous kernels of compact type

Cites Work

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• Multidimensional integral operators with homogeneous kernels of degree \(-n\).
• Algebra of multidimensional integral operators with homogeneous kernels with varying coefficients
• On the algebra of pair integral operators with homogeneous kernels
• Calculation of the index of multidimensional integral operators with bihomogeneous kernels

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