This article is cited in 3 papers

On the representation of analytic functions of several variables by exponential series

A. B. Sekerin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

Abstract: The author considers the problem of representing functions analytic in a neighborhood of a closed, bounded, convex, multidimensional domain by exponential series (with formulas for the coefficients). In addition, the system of exponents should be the collection of intersection points of the zero planes of a special entire function. A complete description is given of a class of convex domains for which it is possible to solve the problem of representing functions by exponential series in this way.

UDC: 517.537

MSC: Primary 32A05; Secondary 32A07, 32A15

Received: 11.02.1991

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1993, 40:3, 503–527

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