arXiv subjects

Ion Chiţescu

Publications and source records attributed to Ion Chiţescu.

2 recordsLinked to original sources

arXiv2017

Operators on Spaces of Functions and Measures. Vector Invariant (Fractal) Measures

We consider a general schema involving measure spaces, contractions and linear and continuous operators. Within the framework of this schema we use our sesquilinear uniform integral and introduce some integral operators on continuous vector functions spaces, which lead us to operators on spaces of vector measures. Using these last operators, we generalize the Markov operators, obtaining via contractions vector invariant (fractal) measures. Concrete examples are provided.

math.CA↗

arXiv2017

Self-similar vector measures of Markov-type operators

We consider iterated function systems (finite or countable), together with linear and continuous operators on Hilbert spaces, which enable us to construct Markov-type operators. Under suitable conditions, these Markov-type operators have fixed points, which are self-similar (invariant) vector measures, thus generalizing the classic Hutchinson self-similar measures. Several models with concrete computations are introduced.

math.CA↗