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  2. Regning og matematisk analyse
  3. Funktionsanalyse og transformation

Transfer Operators, Endomorphisms, and Measurable Partitions

Af: Sergey Bezuglyi, Palle E. T. Jorgensen Engelsk Paperback

Transfer Operators, Endomorphisms, and Measurable Partitions

Af: Sergey Bezuglyi, Palle E. T. Jorgensen Engelsk Paperback
Tjek vores konkurrenters priser
The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new set of tools, often quite different from those used for the “easier” and well-documented case of automorphisms. Among them is the construction of a family of positive operators (transfer operators), arising naturally as a dual picture to that of endomorphisms. The setting (close to one initiated by S. Karlin in the context of stochastic processes) is motivated by a number of recent applications, including wavelets, multi-resolution analyses, dissipative dynamical systems, and quantum theory.      The automorphism-endomorphism relationship has parallels in operator theory, where the distinction is between unitary operators in Hilbert space and more general classesof operators such as contractions. There is also a non-commutative version: While the study of automorphisms of von Neumann algebras dates back to von Neumann, the systematic study of their endomorphisms is more recent; together with the results in the main text, the book includes a review of recent related research papers, some by the co-authors and their collaborators.
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The subject of this book stands at the crossroads of ergodic theory and measurable dynamics. With an emphasis on irreversible systems, the text presents a framework of multi-resolutions tailored for the study of endomorphisms, beginning with a systematic look at the latter. This entails a whole new set of tools, often quite different from those used for the “easier” and well-documented case of automorphisms. Among them is the construction of a family of positive operators (transfer operators), arising naturally as a dual picture to that of endomorphisms. The setting (close to one initiated by S. Karlin in the context of stochastic processes) is motivated by a number of recent applications, including wavelets, multi-resolution analyses, dissipative dynamical systems, and quantum theory.      The automorphism-endomorphism relationship has parallels in operator theory, where the distinction is between unitary operators in Hilbert space and more general classesof operators such as contractions. There is also a non-commutative version: While the study of automorphisms of von Neumann algebras dates back to von Neumann, the systematic study of their endomorphisms is more recent; together with the results in the main text, the book includes a review of recent related research papers, some by the co-authors and their collaborators.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 162
ISBN-13: 9783319924168
Indbinding: Paperback
Udgave:
ISBN-10: 3319924168
Kategori: Funktionsanalyse og transformation
Udg. Dato: 22 jun 2018
Længde: 13mm
Bredde: 234mm
Højde: 156mm
Forlag: Springer International Publishing AG
Oplagsdato: 22 jun 2018
Forfatter(e): Sergey Bezuglyi, Palle E. T. Jorgensen
Forfatter(e) Sergey Bezuglyi, Palle E. T. Jorgensen

Kategori Funktionsanalyse og transformation

ISBN-13 9783319924168

Sprog Engelsk

Indbinding Paperback

Sider 162

Udgave

Længde 13mm

Bredde 234mm

Højde 156mm

Udg. Dato 22 jun 2018

Oplagsdato 22 jun 2018

Forlag Springer International Publishing AG

Kategori sammenhænge