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Vladikavkazskii Matematicheskii Zhurnal, 2012, Volume 14, Number 4, Pages 5–9 (Mi vmj431)  

Representing systems of exponential functions in spaces of holomorphic functions with given growth near boundary

A. V. Abaninab, V. A. Varzievb

a Southern Federal University, Russia, Rostov-on-Don
b South Mathematical Institute of VSC RAS, Russia, Vladikavkaz
References:
Abstract: We consider $(LB)$ spaces of functions which are holomorphic in a convex domain and have a finite type with respect to an order near its boundary. Using Laplace transformation, we give a description of their duals. Then we characterize mimimal absolutely representing systems of exponential functions in these spaces and prove that they always exist.
Key words: spaces of holomorphic functions with a given growth, absolutely representing systems, systems of exponential functions.
Received: 05.11.2012
Document Type: Article
UDC: 517.547+517.982
Language: Russian
Citation: A. V. Abanin, V. A. Varziev, “Representing systems of exponential functions in spaces of holomorphic functions with given growth near boundary”, Vladikavkaz. Mat. Zh., 14:4 (2012), 5–9
Citation in format AMSBIB
\Bibitem{AbaVar12}
\by A.~V.~Abanin, V.~A.~Varziev
\paper Representing systems of exponential functions in spaces of holomorphic functions with given growth near boundary
\jour Vladikavkaz. Mat. Zh.
\yr 2012
\vol 14
\issue 4
\pages 5--9
\mathnet{http://mi.mathnet.ru/vmj431}
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