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Spectral theory of dynamical systems
This book discusses basic topics in the spectral theory of dynamical systems. It also includes two advanced theorems, one by H. Helson and W. Parry, and another by B. Host. Moreover, Ornstein’s family of mixing rank-one automorphisms is given with construction and proof. Systems of imprimitivity and...
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Lenguaje: | eng |
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Springer
2020
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Acceso en línea: | https://dx.doi.org/10.1007/978-981-15-6225-9 http://cds.cern.ch/record/2729510 |
_version_ | 1780966415864430592 |
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author | Nadkarni, Mahendra |
author_facet | Nadkarni, Mahendra |
author_sort | Nadkarni, Mahendra |
collection | CERN |
description | This book discusses basic topics in the spectral theory of dynamical systems. It also includes two advanced theorems, one by H. Helson and W. Parry, and another by B. Host. Moreover, Ornstein’s family of mixing rank-one automorphisms is given with construction and proof. Systems of imprimitivity and their relevance to ergodic theory are also examined. Baire category theorems of ergodic theory, scattered in literature, are discussed in a unified way in the book. Riesz products are introduced and applied to describe the spectral types and eigenvalues of rank-one automorphisms. Lastly, the second edition includes a new chapter “Calculus of Generalized Riesz Products”, which discusses the recent work connecting generalized Riesz products, Hardy classes, Banach's problem of simple Lebesgue spectrum in ergodic theory and flat polynomials. |
id | cern-2729510 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2020 |
publisher | Springer |
record_format | invenio |
spelling | cern-27295102021-04-21T18:05:06Zdoi:10.1007/978-981-15-6225-9http://cds.cern.ch/record/2729510engNadkarni, MahendraSpectral theory of dynamical systemsMathematical Physics and MathematicsThis book discusses basic topics in the spectral theory of dynamical systems. It also includes two advanced theorems, one by H. Helson and W. Parry, and another by B. Host. Moreover, Ornstein’s family of mixing rank-one automorphisms is given with construction and proof. Systems of imprimitivity and their relevance to ergodic theory are also examined. Baire category theorems of ergodic theory, scattered in literature, are discussed in a unified way in the book. Riesz products are introduced and applied to describe the spectral types and eigenvalues of rank-one automorphisms. Lastly, the second edition includes a new chapter “Calculus of Generalized Riesz Products”, which discusses the recent work connecting generalized Riesz products, Hardy classes, Banach's problem of simple Lebesgue spectrum in ergodic theory and flat polynomials.Springeroai:cds.cern.ch:27295102020 |
spellingShingle | Mathematical Physics and Mathematics Nadkarni, Mahendra Spectral theory of dynamical systems |
title | Spectral theory of dynamical systems |
title_full | Spectral theory of dynamical systems |
title_fullStr | Spectral theory of dynamical systems |
title_full_unstemmed | Spectral theory of dynamical systems |
title_short | Spectral theory of dynamical systems |
title_sort | spectral theory of dynamical systems |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/978-981-15-6225-9 http://cds.cern.ch/record/2729510 |
work_keys_str_mv | AT nadkarnimahendra spectraltheoryofdynamicalsystems |