Local Spectra and Index of Singular Integral Operators with Piecewise Continuous Coefficients on Composed Curves

DOI10.1002/mana.19992060102zbMath0982.47024OpenAlexW2004028879MaRDI QIDQ3836211

Christopher J. Bishop, Yuri I. Karlovich, Albrecht Böttcher, Ilya M. Spitkovskij

Publication date: 24 March 2002

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19992060102

zbMATH Keywords

idempotentsingular integral operatorspectral theoryindexMuckenhoupt conditionsymbol calculusCarleson conditiongeometric function theoryMuckenhoupt weight classAhlfors-David curvesmatrix-valued coefficientsCarleson stars and flowersFredholm theory of the singular integral operators

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Conformal mappings of special domains (30C20) (Semi-) Fredholm operators; index theories (47A53) Linear operators on function spaces (general) (47B38) Integral equations with kernels of Cauchy type (45E05) Algebras of operators on Banach spaces and other topological linear spaces (47L10) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) (C)-semigroups, regularized semigroups (47D60) Local spectral properties of linear operators (47A11) Linear operators in algebras (47C05)

Related Items (4)

Algebras of singular integral operators on composed contours with whirl points ⋮ On the Riemann-Hilbert problem with a piecewise constant matrix ⋮ Conformal Parametrisation of Loxodromes by Triples of Circles ⋮ A shift-invariant algebra of singular integral operators with oscillating coefficients

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