This article is cited in 3 scientific papers (total 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
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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Russian Academy of Sciences. Izvestiya Mathematics, 1993, 40:3, 503–527
MSC: Primary 32A05; Secondary 32A07, 32A15
A. B. Sekerin, “On the representation of analytic functions of several variables by exponential series”, Izv. RAN. Ser. Mat., 56:3 (1992), 538–565; Russian Acad. Sci. Izv. Math., 40:3 (1993), 503–527
Citation in format AMSBIB
\paper On~the~representation of analytic functions of several variables by exponential series
\jour Izv. RAN. Ser. Mat.
\jour Russian Acad. Sci. Izv. Math.
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This publication is cited in the following articles:
A. B. Sekerin, “Radon transformations and zonoids”, Math. Notes, 59:2 (1996), 180–184
A. B. Sekerin, “Applications of the Radon transform in the theory of plurisubharmonic functions”, Russian Math. (Iz. VUZ), 47:2 (2003), 44–52
S. N. Melikhov, S. Momm, “On the expansions of analytic functions on convex locally closed sets in exponential series”, Vladikavk. matem. zhurn., 13:1 (2011), 44–58
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