Geodesic
On~the~representation of analytic functions of several variables by exponential series
Izvestiya. Mathematics , Tome 40 (1993) no. 3, pp. 503-527

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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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     author = {A. B. Sekerin},
     title = {On~the~representation of analytic functions of several variables by exponential series},
     journal = {Izvestiya. Mathematics },
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     year = {1993},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1993_40_3_a2/}
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A. B. Sekerin. On~the~representation of analytic functions of several variables by exponential series. Izvestiya. Mathematics , Tome 40 (1993) no. 3, pp. 503-527. http://geodesic.mathdoc.fr/item/IM2_1993_40_3_a2/