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A spatial Riemann problem for bicircular domains

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Titel: A spatial Riemann problem for bicircular domains
Autoren: Lukankin, G. L.
Verlagsinformationen: Russian Academy of Sciences - RAS (Rossiĭskaya Akademiya Nauk - RAN), Vladikavkaz Scientific Center (Vladikavkazskiĭ Nauchnyĭ Tsentr), South Mathematical Institute (Yuzhnyĭ Matematicheskiĭ Institut), Vladikavkaz
Schlagwörter: Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels), Boundary behavior of holomorphic functions of several complex variables, Singular integrals of functions in several complex variables, singular integral equation, Riemann problem, bicircular domain, solvability, Temlyakov-type integral
Beschreibung: The article is a continuation of the author's study of boundary value problems of linear conjugation for functions of two complex variables [see \textit{G. L. Lukankin}, Commentat. Math. Univ. Carol. 9, 269--280 (1968; Zbl 0167.36402) and Mat. Anal. Teor. Funkts., Moskva 1973, No. 1, 10--24 (1973)]. In the present article, the author formulates and solves the two-dimensional conjugation problem for bicircular domains. To solve the problem, the apparatus of Temlyakov-type integral is used. As a result, the original problem is reduced to studying a complete singular integral equation which can be solved by using the well-known methods of the theory of integral equations.
Publikationsart: Article
Dateibeschreibung: application/xml
Zugangs-URL: https://zbmath.org/2112599
Dokumentencode: edsair.c2b0b933574d..e5b9d93eb91d6a2846d3db71047ad964
Datenbank: OpenAIRE
Beschreibung
Abstract:The article is a continuation of the author's study of boundary value problems of linear conjugation for functions of two complex variables [see \textit{G. L. Lukankin}, Commentat. Math. Univ. Carol. 9, 269--280 (1968; Zbl 0167.36402) and Mat. Anal. Teor. Funkts., Moskva 1973, No. 1, 10--24 (1973)]. In the present article, the author formulates and solves the two-dimensional conjugation problem for bicircular domains. To solve the problem, the apparatus of Temlyakov-type integral is used. As a result, the original problem is reduced to studying a complete singular integral equation which can be solved by using the well-known methods of the theory of integral equations.