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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1979 Volume 43, Issue 1, Pages 184–202 (Mi im1679)

This article is cited in 7 papers

A boundary value problem of linear conjugation in the theory of functions

A. P. Soldatov


Abstract: The matrix case of a boundary value problem of linear conjugation in the theory of analytic functions, for arbitrary piecewise smooth curves, is treated, as is the corresponding adjoint problem. For these problems Noetherian theorems are proved, a family of canonical functions is constructed, and the behavior of these solutions at corner points of the curve is described.
Bibliography: 9 titles.

UDC: 517.948

MSC: 30E25, 45E05

Received: 05.05.1978


 English version:
Mathematics of the USSR-Izvestiya, 1980, 14:1, 175–192

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