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