Topological methods in solvability theory of multidimensional pair integral operators with homogeneous kernels of compact type

DOI10.1134/S0081543812060065zbMath1302.47073MaRDI QIDQ744275

V. M. Deundyak

Publication date: 7 October 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

operator \(K\)-theory\(C^\ast\)-algebrasintegral operators with kernel

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) (Semi-) Fredholm operators; index theories (47A53) Integral operators (45P05) Integral operators (47G10)

Cites Work

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• On the algebra of multidimensional integral operators with homogeneous \(SO(n)\) -invariant kernels and weakly radially oscillating coefficients
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• On the index of multidimensional integral operators with bihomogeneous kernel and variable coefficients
• Necessary conditions for the boundedness of an operator with nonnegative quasihomogeneous kernel
• Algebra of multidimensional integral operators with homogeneous kernels with varying coefficients
• On the algebra of pair integral operators with homogeneous kernels
• On homotopy properties and indices of families of singular and bisingular operators with piecewise-continuous coefficients
• [Russian Text Ignored.]

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