Generalized iterated function systems, multifunctions and Cantor sets

• Autorzy: Maciej Klimek , Marta Kosek
• Języki publikacji: EN

Abstrakty

EN

Using a construction similar to an iterated function system, but with functions changing at each step of iteration, we provide a natural example of a continuous one-parameter family of holomorphic functions of infinitely many variables. This family is parametrized by the compact space of positive integer sequences of prescribed growth and hence it can also be viewed as a parametric description of a trivial analytic multifunction.

Kategorie tematyczne

• 46G20: Infinite-dimensional holomorphy
• 32A12: Multifunctions
• 32H50: Iteration problems
• 54C50: Special sets defined by functions
• 32H02: Holomorphic mappings, (holomorphic) embeddings and related questions
• 26E25: Set-valued functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2009
• Tom: 96
• Numer: 1
• Strony: 25-41

Daty

wydano

2009

Twórcy

autor

Maciej Klimek

• Department of Mathematics, Uppsala University, P.O. Box 480, 751-06 Uppsala, Sweden

autor

Marta Kosek

• Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/ap96-1-2