\(C^\ast\)-algebra generated by integral operators with homogeneous kernels and oscillating coefficients of various types

DOI10.1007/S10958-022-05873-1OpenAlexW4292553480WikidataQ114225178 ScholiaQ114225178MaRDI QIDQ6147830

Sergey S. Ashikhmin, O. G. Avsyankin

Publication date: 1 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-05873-1

zbMATH Keywords

\(C^*\)-algebraintegral operatorFredholm propertyinvertibilitygroupsymbolhomogeneous kerneloscillating coefficients

Mathematics Subject Classification ID

Integral operators (47G10) Operator algebras with symbol structure (47L15)

Related Items (1)

On integral operators with homogeneous kernels in weighted Lebesgue spaces on the Heisenberg group

Cites Work

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• On the algebra of multidimensional integral operators with homogeneous \(SO(n)\) -invariant kernels and weakly radially oscillating coefficients
• Volterra type integral operators with homogeneous kernels in weighted \(L_p\)-spaces
• Multidimensional integral operators with homogeneous kernels and with coefficients oscillating at infinity
• Convolution operators on locally compact groups
• On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators
• Fredholm property of integral operators with homogeneous kernels of compact type in the \(L_2\) space on the Heisenberg group
• Invertibility of multidimensional integral operators with bihomogeneous kernels
• On the \(C^\ast\)-algebra generated by multiplicative discrete convolution operators with oscillating coefficients
• Defining Hausdorff operators on Euclidean spaces

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