東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Spectral theory of dynamical systems

Nadkarni, Mahendra.

Linked to FindBook

Google Book

Amazon

博客來

Spectral theory of dynamical systems

Record Type:	Electronic resources : Monograph/item
Title/Author:	Spectral theory of dynamical systems/ by Mahendra Nadkarni.
Author:	Nadkarni, Mahendra.
Published:	Singapore :Springer Singapore : : 2020.,
Description:	xiii, 223 p. :ill., digital ;24 cm.
[NT 15003449]:	The Hahn-Hellinger Theorem -- The Spectral Theorem for Unitary Operators -- Symmetry and Denseness of the Spectrum -- Multiplicity and Rank -- The Skew Product -- A Theorem of Helson and Parry -- Probability Measures on the Circle Group -- Baire Category Theorems of Ergodic Theory -- Translations of Measures on the Circle -- B. Host's Theorem -- L∞ Eigenvalues of Non-Singular Automorphisms -- Generalities on Systems of Imprimitivity -- Dual Systems of Imprimitivity -- Saturated Subgroups of the Circle Group -- Riesz Products As Spectral Measures -- Additional Topics -- Calculus of Generalized Riesz Products.
Contained By:	Springer Nature eBook
Subject:	Spectral theory (Mathematics) -
Online resource:	https://doi.org/10.1007/978-981-15-6225-9
ISBN:	9789811562259

Spectral theory of dynamical systems
Nadkarni, Mahendra.

Spectral theory of dynamical systems[electronic resource] /by Mahendra Nadkarni. - Second edition - Singapore :Springer Singapore :2020. - xiii, 223 p. :ill., digital ;24 cm. - Texts and readings in mathematics,152366-8717 ;. - Texts and readings in mathematics ;15..

The Hahn-Hellinger Theorem -- The Spectral Theorem for Unitary Operators -- Symmetry and Denseness of the Spectrum -- Multiplicity and Rank -- The Skew Product -- A Theorem of Helson and Parry -- Probability Measures on the Circle Group -- Baire Category Theorems of Ergodic Theory -- Translations of Measures on the Circle -- B. Host's Theorem -- L∞ Eigenvalues of Non-Singular Automorphisms -- Generalities on Systems of Imprimitivity -- Dual Systems of Imprimitivity -- Saturated Subgroups of the Circle Group -- Riesz Products As Spectral Measures -- Additional Topics -- Calculus of Generalized Riesz Products.

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.

ISBN: 9789811562259

Standard No.: 10.1007/978-981-15-6225-9doiSubjects--Topical Terms:

524915
Spectral theory (Mathematics)

LC Class. No.: QA313 / .N335 2020

Dewey Class. No.: 515.39

Spectral theory of dynamical systems
LDR:02533nmm a2200349 a 4500 001 2256057
003 DE-He213
005 20201228095021.0
006 m d
007 cr nn 008maaau
008 220420s2020 si s 0 eng d
020 $a 9789811562259 $q (electronic bk.)
020 $a 9789811562242 $q (paper)
024 7 $a 10.1007/978-981-15-6225-9 $2 doi
035 $a 978-981-15-6225-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA313 $b .N335 2020
072 7 $a PBWR $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBWR $2 thema
082 0 4 $a 515.39 $2 23
090 $a QA313 $b .N137 2020
100 1 $a Nadkarni, Mahendra. $3 3526052
245 1 0 $a Spectral theory of dynamical systems $h [electronic resource] / $c by Mahendra Nadkarni.
250 $a Second edition
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2020.
300 $a xiii, 223 p. : $b ill., digital ; $c 24 cm.
490 1 $a Texts and readings in mathematics, $x 2366-8717 ; $v 15
505 0 $a The Hahn-Hellinger Theorem -- The Spectral Theorem for Unitary Operators -- Symmetry and Denseness of the Spectrum -- Multiplicity and Rank -- The Skew Product -- A Theorem of Helson and Parry -- Probability Measures on the Circle Group -- Baire Category Theorems of Ergodic Theory -- Translations of Measures on the Circle -- B. Host's Theorem -- L∞ Eigenvalues of Non-Singular Automorphisms -- Generalities on Systems of Imprimitivity -- Dual Systems of Imprimitivity -- Saturated Subgroups of the Circle Group -- Riesz Products As Spectral Measures -- Additional Topics -- Calculus of Generalized Riesz Products.
520 $a 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.
650 0 $a Spectral theory (Mathematics) $3 524915
650 0 $a Differentiable dynamical systems. $3 524351
650 1 4 $a Dynamical Systems and Ergodic Theory. $3 891276
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Topology. $3 522026
650 2 4 $a Group Theory and Generalizations. $3 893889
650 2 4 $a Field Theory and Polynomials. $3 891077
650 2 4 $a Statistical Physics and Dynamical Systems. $3 3135115
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Texts and readings in mathematics ; $v 15. $3 3526053
856 4 0 $u https://doi.org/10.1007/978-981-15-6225-9
950 $a Mathematics and Statistics (SpringerNature-11649)