Book chapter
Transfer Operators on Measure Spaces
Transfer Operators, Endomorphisms, and Measurable Partitions, pp.39-58
Lecture Notes in Mathematics, Springer International Publishing
06/22/2018
DOI: 10.1007/978-3-319-92417-5_4
Abstract
Our starting point is a fixed pair (R, σ) on (X,ℬ)\documentclass[12pt]{minimal}
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$$(X, {\mathcal B})$$
\end{document} making up a transfer operator. In the next two chapters we turn to a systematic study of specific and important sets of measures on (X,ℬ)\documentclass[12pt]{minimal}
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$$(X, {\mathcal B})$$
\end{document} and actions of (R, σ) on these sets of measures. These classes of measures in turn lead to a structure theory for our given transfer operator (R, σ). Our corresponding structure results are Theorems 4.14, 10.1007/978-3-319-92417-5_5#FPar13, 10.1007/978-3-319-92417-5_5#FPar12, 10.1007/978-3-319-92417-5_5#FPar9, and 10.1007/978-3-319-92417-5_5#FPar20.
Details
- Title: Subtitle
- Transfer Operators on Measure Spaces
- Creators
- Sergey Bezuglyi - University of IowaPalle E. T Jorgensen - University of Iowa
- Resource Type
- Book chapter
- Publication Details
- Transfer Operators, Endomorphisms, and Measurable Partitions, pp.39-58
- Series
- Lecture Notes in Mathematics
- DOI
- 10.1007/978-3-319-92417-5_4
- eISSN
- 1617-9692
- ISSN
- 0075-8434
- Publisher
- Springer International Publishing; Cham
- Language
- English
- Date published
- 06/22/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9984241053502771
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