Geodesic
Representing systems of exponential functions in spaces of holomorphic functions with given growth near boundary
Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 4, pp. 5-9 
A. V. Abanin; V. A. Varziev. Representing systems of exponential functions in spaces of holomorphic functions with given growth near boundary. Vladikavkazskij matematičeskij žurnal, Tome 14 (2012) no. 4, pp. 5-9. http://geodesic.mathdoc.fr/item/VMJ_2012_14_4_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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