scholarly journals The Catlin Multitype and Biholomorphic Equivalence of Models

2010 ◽  
Vol 2010 (18) ◽  
pp. 3530-3548 ◽  
Author(s):  
Martin Kolář
Keyword(s):  
Biholomorphic Equivalence

scholarly journals On a Theorem of Bers, with Applications to the Study of Automorphism Groups of Domains

2016 ◽  
Vol 59 (2) ◽  
pp. 346-353
Author(s):  
Steven Krantz
Keyword(s):  
Automorphism Group ◽  
Automorphism Groups ◽  
Holomorphic Functions ◽  
Biholomorphic Equivalence ◽  
Algebras Of Holomorphic Functions

AbstractWe study and generalize a classical theoremof L. Bers that classifies domains up to biholomorphic equivalence in terms of the algebras of holomorphic functions on those domains. Then we develop applications of these results to the study of domains with noncompact automorphism group

scholarly journals Relationship Between the Bergman and Cauchy-Szeg¨o Ker- nels in the Domains + (n -1) and ℜn I V

2020 ◽  
pp. 559-567
Author(s):  
Gulmirza Kh. Khudayberganov ◽  
Jonibek Sh. Abdullayev
Keyword(s):  
Holomorphic Functions ◽  
Integral Representations ◽  
Biholomorphic Equivalence

In this paper, a connection has been established between the Bergman and Cauchy-Szeg¨o kernels using the biholomorphic equivalence of the domains + (n -1) and the Lie ball ℜn I V. Moreover, integral representations of holomorphic functions in these domains are obtai

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