Projection method for a class of integral operators with bihomogeneous kernels

DOI10.3103/s1066369x23030015zbMath1522.47071OpenAlexW4384911828MaRDI QIDQ6047505

O. G. Avsyankin

Publication date: 12 September 2023

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

Full work available at URL: https://doi.org/10.3103/s1066369x23030015

zbMATH Keywords

integral operatorprojection methodinvertibility\(C^\ast\)-algebrahomogeneous kernel

Mathematics Subject Classification ID

Integral operators (45P05) Integral operators (47G10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

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• Projection method in the theory of integral operators with homogeneous kernels
• On the index of multidimensional integral operators with bihomogeneous kernel and variable coefficients
• On the \(C^*\)-algebra generated by multidimensional integral operators with homogeneous kernels and multiplicative translations
• On integral operators with homogeneous kernels and trigonometric coefficients
• Invertibility of multidimensional integral operators with bihomogeneous kernels
• Projection method for integral operators with homogeneous kernels perturbed by one-sided multiplicative shifts
• Projection method for solving equations for multidimensional operators with anisotropically homogeneous kernels of compact type

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