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On coefficients of exponential series for analytic functions of polynomial growth

Melikhov S. N. , Varziev V. A.
Vladikavkaz Mathematical Journal 2011. Vol. 13. Issue 4.
Abstract:
In this article a criterion is obtained that the operator of the representation of analytic functions on a bounded convex domain \(G\) of polynomial growth near the boundary of $G$ by exponential series, exponents of which are zeroes of a special entire function, has a continuous linear right inverse.
Keywords: exponential series, analytic functions of polynomial growth, representation operator, continuous linear right inverse.
Language: Russian Download the full text  


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