Journal article
Martingales, endomorphisms, and covariant systems of operators in Hilbert space
Journal of operator theory, Vol.58(2), pp.269-310
09/01/2007
Abstract
In the theory of wavelets, in the study of subshifts, in the analysis of Julia sets of rational maps of a complex variable, and, more generally, in the study of dynamical systems, we are faced with the problem of building a unitary operator from a mapping r in a compact metric space X. The space X may be a torus, or the state space of subshift dynamical systems, or a Julia set.
While our motivation derives from some wavelet problems, we have in mind other applications as well; and the issues involving covariant operator systems may be of independent interest.
Details
- Title: Subtitle
- Martingales, endomorphisms, and covariant systems of operators in Hilbert space
- Creators
- Dorin Ervin Dutkay - Univ Cent Florida, Dept Math, Orlando, FL 32816 USAPalle E. T Jorgensen - Univ Iowa, Dept Math, Iowa City, IA 52242 USA
- Resource Type
- Journal article
- Publication Details
- Journal of operator theory, Vol.58(2), pp.269-310
- Publisher
- THETA FOUNDATION
- ISSN
- 0379-4024
- eISSN
- 1841-7744
- Number of pages
- 42
- Language
- English
- Date published
- 09/01/2007
- Academic Unit
- Mathematics
- Record Identifier
- 9984240878102771
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