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Dear authors! Submission of all materials is carried out only electronically through Online Submission System in personal account. DOI: 10.23671/VNC.2012.14.10998 Representing systems of exponential functions in spaces of holomorphic functions with given growth near boundary
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.
Keywords: spaces of holomorphic functions with a given growth, absolutely representing systems, systems of exponential functions
Language: Russian
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For citation: Abanin A. V., Varziev V. A. Representing systems of exponential functions in spaces of holomorphic functions with given growth near boundary. Vladikavkazskij matematicheskij zhurnal [Vladikavkaz Math. J.],
2012, vol. 14, no. 4, pp.5-9.
DOI 10.23671/VNC.2012.14.10998 ← Contents of issue |
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