# Generalized iterated function systems, multifunctions and Cantor sets

Annales Polonici Mathematici (2009)

- Volume: 96, Issue: 1, page 25-41
- ISSN: 0066-2216

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topMaciej Klimek, and Marta Kosek. "Generalized iterated function systems, multifunctions and Cantor sets." Annales Polonici Mathematici 96.1 (2009): 25-41. <http://eudml.org/doc/280534>.

@article{MaciejKlimek2009,

abstract = {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.},

author = {Maciej Klimek, Marta Kosek},

journal = {Annales Polonici Mathematici},

keywords = {holomorphic mappings; analytic multifunctions; set-valued functions; affine contractions; iterations; generalized Cantor sets},

language = {eng},

number = {1},

pages = {25-41},

title = {Generalized iterated function systems, multifunctions and Cantor sets},

url = {http://eudml.org/doc/280534},

volume = {96},

year = {2009},

}

TY - JOUR

AU - Maciej Klimek

AU - Marta Kosek

TI - Generalized iterated function systems, multifunctions and Cantor sets

JO - Annales Polonici Mathematici

PY - 2009

VL - 96

IS - 1

SP - 25

EP - 41

AB - 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.

LA - eng

KW - holomorphic mappings; analytic multifunctions; set-valued functions; affine contractions; iterations; generalized Cantor sets

UR - http://eudml.org/doc/280534

ER -

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