Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419257 | Journal of Mathematical Analysis and Applications | 2012 | 20 Pages |
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 m-convex Fréchet 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
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Santiago Muro,