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Mathematics of the USSR-Izvestiya, 1980, Volume 14, Issue 1, Pages 175–192
DOI: https://doi.org/10.1070/IM1980v014n01ABEH001067
(Mi im1679)
 

This article is cited in 7 scientific papers (total in 7 papers)

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

A. P. Soldatov
References:
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.
Received: 05.05.1978
Bibliographic databases:
UDC: 517.948
MSC: 30E25, 45E05
Language: English
Original paper language: Russian
Citation: A. P. Soldatov, “A boundary value problem of linear conjugation in the theory of functions”, Math. USSR-Izv., 14:1 (1980), 175–192
Citation in format AMSBIB
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\by A.~P.~Soldatov
\paper A~boundary value problem of linear conjugation in the theory of functions
\jour Math. USSR-Izv.
\yr 1980
\vol 14
\issue 1
\pages 175--192
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\crossref{https://doi.org/10.1070/IM1980v014n01ABEH001067}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=525946}
\zmath{https://zbmath.org/?q=an:0432.30034|0402.30040}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KM22000008}
Linking options:
  • https://www.mathnet.ru/eng/im1679
  • https://doi.org/10.1070/IM1980v014n01ABEH001067
  • https://www.mathnet.ru/eng/im/v43/i1/p184
  • This publication is cited in the following 7 articles:
    1. A. B. Rasulov, Yu. S. Fedorov, A. M. Sergeeva, “Zadachi tipa Rimana—Gilberta dlya obobschennogo uravneniya Koshi—Rimana s mladshim koeffitsientom, imeyuschim osobennost v okruzhnosti”, Materialy Voronezhskoi mezhdunarodnoi vesennei matematicheskoi shkoly «Sovremennye metody kraevykh zadach. Pontryaginskie chteniya—XXXIV», Voronezh, 3-9 maya 2023 g. Chast 3, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 232, VINITI RAN, M., 2024, 89–98  mathnet  crossref
    2. A. B. Rasulov, Yu. S. Fedorov, “On a statement of the boundary value problem for a generalized Cauchy–Riemann equation with nonisolated singularities in a lower-order coefficient”, Math. Notes, 116:1 (2024), 119–129  mathnet  crossref  crossref
    3. N. K. Bliev, N. M. Yerkinbayev, “Boundary conjugation problem for piecewise analytic functions in Besov spaces”, Complex Variables and Elliptic Equations, 2023, 1  crossref
    4. Yu. S. Fedorov, “A Riemann–Hilbert Type Problem for a Singularly Perturbed Cauchy–Riemann Equation with a Singularity in the Coefficient”, Diff Equat, 58:3 (2022), 367  crossref
    5. G. N. Aver'yanov, A. P. Soldatov, “Linear conjugation problem with a triangular matrix coefficient”, J. Math. Sci. (N. Y.), 257:1 (2021), 1–7  mathnet  crossref  mathscinet
    6. Alexander P. Soldatov, AIP Conference Proceedings, 2048, 2018, 040003  crossref
    7. G. N. Aver'yanov, A. P. Soldatov, “Linear conjugation problem for analytic functions in the weighted Hölder spaces”, Russian Math. (Iz. VUZ), 59:9 (2015), 47–50  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:543
    Russian version PDF:221
    English version PDF:31
    References:82
    First page:4
     
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