On algebras of two dimensional singular integral operators with homogeneous discontinuities in symbols

DOI10.1007/BF01299848zbMath0992.45008OpenAlexW2019022699MaRDI QIDQ5943634

Nikolai L. Vasilevski, Alexey N. Karapetyants, Vladimir S. Rabinovich

Publication date: 27 September 2001

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01299848

zbMATH Keywords

\(C^*\)-algebraFredholm symbol algebrahomogeneous discontinuities in symbolstwo dimensional singular integral operators

Mathematics Subject Classification ID

Integral operators (45P05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Pseudodifferential operators (47G30)

Related Items (2)

\(C^*\)-algebras of poly-Bergman type operators over sectors ⋮ \(C^\ast\)-algebras of Bergman type operators with piecewise constant coefficients over sectors

Cites Work

• Fredholm theory and finite section method for band-dominated operators
• Singular integral operators on complicated contours and pseudodifferential operators
• Algebras of singular integral operators generated by three orthogonal projections
• Algebra generated by one-dimensional singular integral operators with piecewise continuous coefficients
• ALGEBRAS GENERATED BY MULTIDIMENSIONAL SINGULAR INTEGRAL OPERATORS AND BY COEFFICIENTS ADMITTING DISCONTINUITIES OF HOMOGENEOUS TYPE
• An inverse for the Gohberg-Krupnik symbol map
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