On algebras of holomorphic functions of a given type
Functional Analysis
2011-10-06 v1 Complex Variables
Abstract
We show that several spaces of holomorphic functions on a Riemann domain over a Banach space, including the nuclear and Hilbert-Schmidt bounded type, are locally -convex Fr\'echet algebras. We prove that the spectrum of these algebras has a natural analytic structure, which we use to characterize the envelope of holomorphy. We also show a Cartan-Thullen type theorem.
Keywords
Cite
@article{arxiv.1110.1080,
title = {On algebras of holomorphic functions of a given type},
author = {Santiago Muro},
journal= {arXiv preprint arXiv:1110.1080},
year = {2011}
}
Comments
30 pages