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

A. B. Sekerin

Izvestiya. Mathematics , Tome 40 (1993) no. 3, pp. 503-527.

Résumé

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.

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