Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Powiadomienia systemowe

Sesja wygasła!
Sesja wygasła!

Znaleziono wyników: 5

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: holomorphic mappings

Sortuj według:

Ogranicz wyniki do:

Topologies on the set of iterates of a holomorphic function in infinite dimensions

Mackey M., Mellon P.

Bulletin of the Polish Academy of Sciences. Mathematics

2022

Vol. 70, no. 2

151--158

Let f: B→B be a compact holomorphic map on the open unit ball B of a complex Banach space Z in possibly infinite dimensions, where f compact means f(B) is relatively compact. The sequence of iterates (fn)n of f (where fn:=f∘fn−1, f1:=f) is of much interest and, since it generally does not converge, the set of all its subsequential limits for a particular topology have been studied instead. We prove that the pointwise limit of any subsequence of (fn)n is itself a holomorphic function. We show, in fact, that on the set of iterates {fn : n∈N} the topology of pointwise convergence on B coincides with any finer topology on the space H(B,Z) of holomorphic functions from B to Z. In particular, it coincides with both the compact-open topology and the topology of local uniform convergence on B. Despite the fact that these topologies are not first countable, we prove that the set of accumulation points of (fn)n coincides with the set of all its subsequential limits.

Application of a theorem of Earle and Hamilton to the theory of scattering and transport

Redheffer R.

Demonstratio Mathematica

2005

Vol. 38, nr 1

59--68

On univalence of holomorphic mappings in Cn

Raducanu D.

Demonstratio Mathematica

2001

Vol. 34, nr 4

789-794

The method of subordination chains is used to obtain an univalence condition for holomorphic mappings in the unit ball of Cn.

General partial differential subordinations for holomorphic mappings in complex Banach spaces

Hamada H., Kohr G., Liczberski P.

Demonstratio Mathematica

2000

Vol. 33, nr 3

481-487

In this paper, we will consider classes of subordinations involving partial derivatives of holomorphic mappings in complex Banach spaces.

Invariance of generalized L-regularity under holomorphic mappings

Hecart J.

Bulletin of the Polish Academy of Sciences. Mathematics

2000

Vol. 48, no 2

187-192

We show an invariance property for generalized L-regular sets (that is regular sets with respect to the generalized pluricomplex Green function defined in parabolic complex spaces) under holomorphic mappings.