A Projection-Valued Measure for a Countable Iterated Function System

A Projection-Valued Measure for a Countable Iterated Function System

Davison in 2015 used the famous Banach Fixed Point Theorem to prove that a certain class of iterated function systems generated counterparts of the Hutchinson measure in the space of projection-valued measures. In this paper, we generalize this result by considering iterated function systems with in...

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Veröffentlicht in:Resultate der Mathematik 2021-03, Vol.76 (1), Article 26
Hauptverfasser: Barrozo, M. F., Levis, F. E., Ridolfi, C. V.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Mathematics, Applied
Physical Sciences
Science & Technology
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Zusammenfassung:Davison in 2015 used the famous Banach Fixed Point Theorem to prove that a certain class of iterated function systems generated counterparts of the Hutchinson measure in the space of projection-valued measures. In this paper, we generalize this result by considering iterated function systems with infinitely many maps.
ISSN:1422-6383
1420-9012
DOI:10.1007/s00025-020-01334-w