Generalized iterated function systems, multifunctions and Cantor sets

Maciej 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 -