Ideals and boundaries in Algebras of Holomorphic functions

We investigate the spectrum of certain Banach algebras. Properties like generators of maximal ideals and generalized Shilov boundaries are studied. In particular we show that if the ∂-equation has solutions in the algebra of bounded functions or continuous functions up to the boundary of a domain D...

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Bibliographic Details
Main Author: Carlsson, Linus
Format: Doctoral Thesis
Language:English
Published: Umeå universitet, Institutionen för matematik och matematisk statistik 2006
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-675
http://nbn-resolving.de/urn:isbn:91-7264-011-1