Algebra of multidimensional integral operators with homogeneous kernels with varying coefficients

zbMath1027.47040MaRDI QIDQ1599394

O. G. Avsyankin, Nikolai K. Karapetyants

Publication date: 9 June 2002

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

zbMATH Keywords

Banach algebraLegendre polynomialsvariable coefficientshomogeneous kernelsmultidimensional integral operators

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Integral operators (47G10) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (8)

Unnamed Item ⋮ Multidimensional integral operators with homogeneous kernels of compact type and multiplicatively weakly oscillating coefficients ⋮ On the algebra of multidimensional integral operators with homogeneous \(SO(n)\) -invariant kernels and weakly radially oscillating coefficients ⋮ Multidimensional integral operators with kernels of mixed homogeneity ⋮ The boundedness and the Fredholm property of integral operators with anisotropically homogeneous kernels of compact type and variable coefficients ⋮ 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 ⋮ On multidimensional integral operators with homogeneous kernels and oscillatory radial coefficients

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