A space of meromorphic functions

E. G. Barsukov, M. G. Khaplanov

Rostov State University

Abstract: Mittag–Leffler's classical theorem on the expansion of a meromorphic function into partial fractions leads naturally to the construction of a topological nonvector space $\mathfrak M_{M\Pi}$. Several properties of this space are studied, the notion of a Mittag–Leffler basis is introduced, and a generalization of Mittag–Leffler's theorem is proved.

UDC: 513.83

Received: 07.05.1973

 English version: Mathematical Notes, 1975, 17:4, 350–355

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