uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Generalized iterated function systems, multifunctions and Cantor sets
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
Department of Mathematics, Jagiellonian University, Krakow, Poland.
2009 (English)In: Annales Polonici Mathematici, ISSN 0066-2216, E-ISSN 1730-6272, Vol. 96, no 1, 25-41 p.Article in journal (Refereed) Published
Abstract [en]

Using a construction similar to an iterated function system, but withfunctions 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.

Place, publisher, year, edition, pages
Warsaw: IM PAN , 2009. Vol. 96, no 1, 25-41 p.
Keyword [en]
holomorphic mappings, analytic multifunctions, set-valued functions, affine contractions, iterations, generalized Cantor sets
National Category
URN: urn:nbn:se:uu:diva-104373DOI: 10.4064/ap96-1-2ISI: 000271321900002OAI: oai:DiVA.org:uu-104373DiVA: diva2:219714
Available from: 2009-05-28 Created: 2009-05-28 Last updated: 2016-05-12

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Klimek, Maciej
By organisation
Analysis and Applied Mathematics
In the same journal
Annales Polonici Mathematici

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 159 hits
ReferencesLink to record
Permanent link

Direct link