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DOI: 10.23671/VNC.2012.14.10998

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

Abanin, A. V. , Varziev V. A.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 4.
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 Download the full text  
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


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