On the \(C^*\)-algebra generated by multidimensional integral operators with homogeneous kernels and multiplicative translations

DOI10.1134/S106456240802035XzbMath1163.47059MaRDI QIDQ951726

O. G. Avsyankin

Publication date: 27 October 2008

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

zbMATH Keywords

integral operatorFredholmnesssymbolsymbolic calculus\(C^{\ast}\)-algebrahomogeneous kernelmultiplicative translation

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Integral operators (45P05) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (15)

On the Algebra Generated by Volterra Integral Operators with Homogeneous Kernels and Continuous Coefficients ⋮ \(C^\ast\)-algebra of integral operators with homogeneous kernels and oscillating coefficients ⋮ Unnamed Item ⋮ Fredholm property of integral operators with homogeneous kernels of compact type in the \(L_2\) space on the Heisenberg group ⋮ Projection method for a class of integral operators with bihomogeneous kernels ⋮ On integral operators with homogeneous kernels in weighted Lebesgue spaces on the Heisenberg group ⋮ Multidimensional integral operators with homogeneous-difference kernels ⋮ Multidimensional integral operators with homogeneous kernels and with coefficients oscillating at infinity ⋮ On the algebra generated by Volterra integral operators with homogeneous kernels and continuous coefficients ⋮ Boundedness and compactness of multidimensional integral operators with homogeneous kernels ⋮ Convolution operators with weakly oscillating coefficients in Hilbert moduli on groups and applications ⋮ Paired integral operators with homogeneous kernels perturbated by operators of multiplicative shift ⋮ On an algebra of multidimensional integral operators with homogeneous-difference kernels ⋮ On the \(C^\ast\)-algebra generated by multiplicative discrete convolution operators with oscillating coefficients ⋮ Projection method for integral operators with homogeneous kernels perturbed by one-sided multiplicative shifts

Cites Work

• Convolution operators and factorization of almost periodic matrix functions
• On the algebra of pair integral operators with homogeneous kernels
• Unnamed Item

This page was built for publication: On the \(C^*\)-algebra generated by multidimensional integral operators with homogeneous kernels and multiplicative translations