Geodesic
A modification of an approach to the solution of the Hilbert boundary-value problem for an analytic function in a~multiconnected circular domain
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2011), pp. 46-57

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We propose a modification of author's approach (Russian Mathematics (Iz. VUZ) 44 (2), 58–62 (2000)) to the solution of the Hilbert boundary value problem for an analytic function in a multiconnected circular domain. This approach implies the solution of the corresponding homogeneous problem including the determination of an analytic function from the known boundary values of its argument on circular domain.
Keywords: Hilbert boundary value problem, index of problem, Schwarz operator.
Mots-clés : Villat formula 
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     author = {R. B. Salimov},
     title = {A modification of an approach to the solution of the {Hilbert} boundary-value problem for an analytic function in a~multiconnected circular domain},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {46--57},
     publisher = {mathdoc},
     number = {11},
     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2011_11_a5/}
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R. B. Salimov. A modification of an approach to the solution of the Hilbert boundary-value problem for an analytic function in a~multiconnected circular domain. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2011), pp. 46-57. http://geodesic.mathdoc.fr/item/IVM_2011_11_a5/