Book chapter
Infinite Product Representations for Kernels and Iterations of Functions
Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes, pp.67-87
Operator Theory: Advances and Applications, Springer International Publishing
2015
DOI: 10.1007/978-3-319-10335-8_5
Abstract
We study infinite products of reproducing kernels with view to their use in dynamics (of iterated function systems), in harmonic analysis, and in stochastic processes. On the way, we construct a new family of representations of the Cuntz relations. Then, using these representations we associate a fixed filled Julia set with a Hilbert space. This is based on analysis and conformal geometry of a fixed rational mapping R in one complex variable, and its iterations.
Details
- Title: Subtitle
- Infinite Product Representations for Kernels and Iterations of Functions
- Creators
- Daniel Alpay - Ben-Gurion University of the NegevPalle Jorgensen - Department of Mathematics 14 MLH, The University of Iowa, Iowa City, USAIzchak Lewkowicz - Ben-Gurion University of the NegevItzik Martziano - Ben-Gurion University of the Negev
- Resource Type
- Book chapter
- Publication Details
- Recent Advances in Inverse Scattering, Schur Analysis and Stochastic Processes, pp.67-87
- Series
- Operator Theory: Advances and Applications
- DOI
- 10.1007/978-3-319-10335-8_5
- eISSN
- 2296-4878
- ISSN
- 0255-0156
- Publisher
- Springer International Publishing; Cham
- Language
- English
- Date published
- 2015
- Academic Unit
- Mathematics
- Record Identifier
- 9984241153302771
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