×

Representing systems of exponential functions in spaces of holomorphic functions with given growth near the boundary. (Russian. English summary) Zbl 1326.30006

Summary: 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.

MSC:

30B60 Completeness problems, closure of a system of functions of one complex variable
PDFBibTeX XMLCite
Full Text: Link