On the solvability of the first Cousin problem for a class of multivalued analytic functions

B. Yu. Sternin, V. E. Shatalov


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.

UDC: 517.55

MSC: Primary 32E10; Secondary 58G17

Received: 21.10.1987

 English version: Mathematics of the USSR-Izvestiya, 1990, 35:2, 393–409

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