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Mathematics of the USSR-Izvestiya, 1990, Volume 35, Issue 2, Pages 393–409
DOI: https://doi.org/10.1070/IM1990v035n02ABEH000709 (Mi im1287) 		 
On the solvability of the first Cousin problem for a class of multivalued analytic functions

B. Yu. Sternin, V. E. Shatalov
English version PDF (751 kB) Russian version article
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DOI: https://doi.org/10.1070/IM1990v035n02ABEH000709
Abstract: The construction, by Maslov's method, of global asymptotics of solutions of differential equations on complex analytic manifolds leads to the first Cousin problem for a certain special class of multivalued analytic functions. This problem (having independent interest) is solved in the present paper.
Bibliography: 9 titles.
Received: 21.10.1987
Bibliographic databases:
UDC: 517.55
MSC: Primary 32E10; Secondary 58G17
Language: English
Original paper language: Russian
Citation: B. Yu. Sternin, V. E. Shatalov, “On the solvability of the first Cousin problem for a class of multivalued analytic functions”, Math. USSR-Izv., 35:2 (1990), 393–409
Citation in format AMSBIB
\Bibitem{SteSha89}
\by B.~Yu.~Sternin, V.~E.~Shatalov
\paper On the solvability of the first Cousin problem for a~class of multivalued analytic functions
\jour Math. USSR-Izv.
\yr 1990
\vol 35
\issue 2
\pages 393--409
\mathnet{http://mi.mathnet.ru/eng/im1287}
\crossref{https://doi.org/10.1070/IM1990v035n02ABEH000709}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1024454}
\zmath{https://zbmath.org/?q=an:0702.32010|0686.32011}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:427
    Russian version PDF:111
    English version PDF:43
    References:81
    First page:1
     
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