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Actions of holomorphic maps on spaces of holomorphic functions

Jezik EngleskiEngleski
Knjiga Meki uvez
Knjiga Actions of holomorphic maps on spaces of holomorphic functions Chiara de Fabritiis
Libristo kod: 01967745
Nakladnici Springer, Berlin, studeni 1994
This thesis is devoted to investigating some aspects of the geometry and function theory on domains... Cijeli opis
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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.

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Informacije o knjizi

Puni naziv Actions of holomorphic maps on spaces of holomorphic functions
Autor Chiara de Fabritiis
Jezik Engleski
Uvez Knjiga - Meki uvez
Datum izdanja 1995
Broj stranica 159
EAN 9788876422751
Libristo kod 01967745
Nakladnici Springer, Berlin
Težina 336
Dimenzije 170 x 240 x 10

Kategorija

Mathematics & Science > Mathematics > Calculus & mathematical analysis > Calculus
Mathematics & Science > Mathematics > Calculus & mathematical analysis > Complex analysis, complex variables
Mathematics & Science > Mathematics > Calculus & mathematical analysis > Functional analysis & transforms
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