Friedrich Haslinger
The Bergman kernel and a genealized Fourier-Borel transform
(12 pages)
Abstract.
In this paper we represent the dual space of a Frechet
space of entire functions again
as a space of entire functions. For this purpose we use the Bergman
kernel of a certain Hilbert space.
In the classical setting the exponential functions provide
the isomorphism via Fourier-Borel transform.
In our case we use the Bergman kernel instead of the exponential functions
in order to establish the isomorphism.
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