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Singular integral operators on curves with corners. (English) Zbl 0445.45025

45P05 Integral operators
47Gxx Integral, integro-differential, and pseudodifferential operators
45E05 Integral equations with kernels of Cauchy type
47A53 (Semi-) Fredholm operators; index theories
47L10 Algebras of operators on Banach spaces and other topological linear spaces
Full Text: DOI
[1] Calderón, A. P., Calderón, C. P., Fabes, E., Riviere, N. M. and Jodeit, M.: Applications of the Cauchy integral on Lipschitz curves. Bulletin AMS84, 287 - 290 (1978). · Zbl 0389.30025
[2] Carleman, T.: Über das Neumann-Poincarésche Problem für ein Gebiet mit Ecken, Dissertation, Uppsala 1916. · JFM 46.0732.04
[3] Costabel, M.: A contribution to the theory of singular integral equations with Carleman shift. Integral Equations Oper. Theory2 (1979), 12 - 24. · Zbl 0409.45002
[4] Daniljuk, I. I.: Irregular boundary value problems in the plane (russian). Moscow, Nauka (1975).
[5] Dudučava, R. V.: On bisingular integral operators with discontinuous coefficients. Math. USSR Sbornik30, 515 - 537 (1976). · Zbl 0388.47030
[6] Gohberg, I. C. and Krupnik, N. Ja.: Singular integral operators with piecewise continuous coefficients and their symbols. Math. USSR Izvestija5, 955 - 979 (1971). · Zbl 0248.47025
[7] Gohberg, I. and Krupnik, N.: Einführung in the Theorie der eindimensionalen singulären Integraloperatoren. Basel, Birkhäuser Verlag (1979), (Russ. Original: Kishinov, Stiinca (1973)). · Zbl 0413.47040
[8] Krupnik, N. Ja. and Njaga, V.I.: Singular integral operators in the case of a nonsmooth contour (russian). Matem. Issl. Kishinov 10, 144 - 164 (1975).
[9] Muschelischwili, N. I.: Singuläre Integralgleichungen. Berlin, Akademie-Verlag (1965). · Zbl 0123.29701
[10] Wendland, W.L.: Elliptic Systems in the Plane. London, Pitman (1979). · Zbl 0396.35001
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