Geodesic
Generalized iterated function systems, multifunctions and Cantor sets
Maciej Klimek1 ; Marta Kosek2
1 Department of Mathematics Uppsala University P.O. Box 480 751-06 Uppsala, Sweden
2 Institute of Mathematics Jagiellonian University /Lojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 96 (2009) no. 1, pp. 25-41.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap96-1-2
Keywords: using construction similar iterated function system functions changing each step iteration provide natural example continuous one parameter family holomorphic functions infinitely many variables family parametrized compact space positive integer sequences prescribed growth hence viewed parametric description trivial analytic multifunction

Maciej Klimek 1 ; Marta Kosek 2

1 Department of Mathematics Uppsala University P.O. Box 480 751-06 Uppsala, Sweden
2 Institute of Mathematics Jagiellonian University /Lojasiewicza 6 30-348 Kraków, Poland 
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 multifunctions and {Cantor} sets},
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 multifunctions and Cantor sets
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 multifunctions and Cantor sets
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Maciej Klimek; Marta Kosek. Generalized iterated function systems,
 multifunctions and Cantor sets. Annales Polonici Mathematici, Tome 96 (2009) no. 1, pp. 25-41. doi : 10.4064/ap96-1-2. http://geodesic.mathdoc.fr/articles/10.4064/ap96-1-2/

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