Generalized iterated function systems, multifunctions and Cantor sets

• 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.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

holomorphic mappings

analytic multifunctions

set-valued functions

affine contractions

iterations

generalized Cantor sets

MATHEMATICS

MATEMATIK

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