An inverse for the Gohberg-Krupnik symbol map

DOI10.1017/S0308210500012385zbMath0459.45013OpenAlexW1993323226MaRDI QIDQ3909511

Martin Costabel

Publication date: 1980

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500012385

zbMATH Keywords

piecewise continuous coefficientsMellin convolutionsexplicit constructionone-dimensional singular integral operatorsclosed operator algebraGohberg-Krupnik symbol

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral operators (45P05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (7)

Approximate foveated images and reconstruction of their uniform pre-images ⋮ The Calkin image of algebras of singular integral operators ⋮ Nonclassical multidimensional singular integral operators on \({\mathbb{R}}_ +^{n+1}\) ⋮ Singuläre Integralgleichungen mit Carlemanscher Verschiebung auf Kurven mit Ecken ⋮ The structure of algebras of singular integral operators ⋮ On algebras of two dimensional singular integral operators with homogeneous discontinuities in symbols ⋮ Boundary integral operators on curved polygons

Cites Work

• A contribution to the theory of singular integral equations with Carleman shift
• Boundary problems for pseudo-differential operators
• Multipliers of \(L^ p\) which vanish at infinity
• Singuläre Integraloperatoren in \(L^p\)-Räumen
• ON BISINGULAR INTEGRAL OPERATORS WITH DISCONTINUOUS COEFFICIENTS
• OPERATORS OF CONVOLUTION TYPE IN CONES
• SINGULAR INTEGRAL OPERATORS WITH PIECEWISE CONTINUOUS COEFFICIENTS AND THEIR SYMBOLS

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