Refinement Equations and Feller Operators

Results on the existence and non-existence of nontrivial -solutions of the refinement equation are obtained by considering fixed points a Feller operator acting on measures associated with this equation.

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Bibliographic Details
Published inIntegral equations and operator theory Vol. 70; no. 3; pp. 323 - 331
Main Authors Morawiec, Janusz, Kapica, Rafał
Format Journal Article
LanguageEnglish
Published Basel SP Birkhäuser Verlag Basel 01.07.2011
Subjects
Analysis
Mathematics
Mathematics and Statistics
Secondary 28A80
39B12
Refinement equations
Primary 37A30
solutions
Feller operators
attractors
iterated function systems
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ISSN0378-620X
1420-8989
DOI10.1007/s00020-011-1879-y

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Summary:Results on the existence and non-existence of nontrivial -solutions of the refinement equation are obtained by considering fixed points a Feller operator acting on measures associated with this equation.
ISSN:0378-620X
1420-8989
DOI:10.1007/s00020-011-1879-y