Publications of the Scuola Normale Superiore

Actions of holomorphic maps on spaces of holomorphic functions

Authors: Fabritiis, Chiara de

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About this book

This thesis is devoted to investigating some aspects of the geometry and function theory on domains in complex vector spaces. The link between geometry and function theory stems from the standard approach whereby, if D is a domain in Cn, S is a semigroup of holomorphic maps of D into itself, and Hol(D) is the space of all scalar valued holomorphic functions on D, then S induces a semigroup of linear operators on Hol(D) whose invariant subspaces give information on the structure of S. In the one-dimensional case, the theory of Riemann surfaces leads to precise results. Passing from one to several complex variables the situation changes radically. In order to obtain further information on Aut D, one has to drastically restrict the class of bounded domains D under consideration, focusing the attention on bounded homogeneous domains or even on the narrower class of bounded symmetric domains.

Buy this book

Softcover $14.95
price for USA
  • ISBN 978-88-7642-275-1
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.

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Bibliographic Information

Bibliographic Information
Book Title
Actions of holomorphic maps on spaces of holomorphic functions
Authors
Series Title
Publications of the Scuola Normale Superiore
Copyright
1995
Publisher
Edizioni della Normale
Copyright Holder
Edizioni della Normale
Softcover ISBN
978-88-7642-275-1
Edition Number
1
Number of Pages
XIII, 159
Topics