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Costabel, Martin

An inverse for the Gohberg-Krupnik symbol map. (English) Zbl 0459.45013

Proc. R. Soc. Edinb., Sect. A 87, 153-165 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0459.45013

Cited in 7 Documents

MSC:

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

Keywords:

closed operator algebra; one-dimensional singular integral operators; piecewise continuous coefficients; Mellin convolutions; Gohberg-Krupnik symbol; explicit construction
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Full Text: DOI

References:

[1] Costabel, Singulare Integraloperatoren auf Kurven mit Ecken pp 483– (1979)
[2] DOI: 10.1007/BF01729358 · Zbl 0409.45002 · doi:10.1007/BF01729358
[3] Cordes, J. Math. Mech. 18 pp 893– (1969)
[4] DOI: 10.1007/BF02392024 · Zbl 0206.39401 · doi:10.1007/BF02392024
[5] Speck, Über verallgemeinerte Faltungsoperatoren und eine Klasse von Integrodifferential-gleichungen (1974)
[6] DOI: 10.1070/SM1967v003n02ABEH002374 · Zbl 0179.16801 · doi:10.1070/SM1967v003n02ABEH002374
[7] DOI: 10.1070/SM1976v030n04ABEH002286 · Zbl 0388.47030 · doi:10.1070/SM1976v030n04ABEH002286
[8] DOI: 10.1070/IM1971v005n04ABEH001127 · Zbl 0248.47025 · doi:10.1070/IM1971v005n04ABEH001127
[9] Gohberg, Einführung in die Theorie der eindimensionalen singulären Integraloperatoren (1979) · doi:10.1007/978-3-0348-5555-6
[10] DOI: 10.1007/BF01354579 · Zbl 0242.45003 · doi:10.1007/BF01354579
[11] DOI: 10.1016/0022-1236(71)90029-2 · Zbl 0219.43007 · doi:10.1016/0022-1236(71)90029-2
[12] Eskin, Boundary value problems for elliptic pseudo differential equations (1973)
[13] Jörgens, Lineare Integraloperatoren (1970) · doi:10.1007/978-3-322-92139-0
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