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Diophantine Approximation and Dirich...

Queffelec, Herve.

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Diophantine Approximation and Dirichlet Series

Record Type:	Electronic resources : Monograph/item
Title/Author:	Diophantine Approximation and Dirichlet Series/ by Herve Queffelec, Martine Queffelec.
Author:	Queffelec, Herve.
other author:	Queffelec, Martine.
Published:	Singapore :Springer Singapore : : 2020.,
Description:	xix, 287 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	1. A Review of Commutative Harmonic Analysis -- 2. Ergodic Theory and Kronecker's Theorems -- 3. Diophantine Approximation -- 4. General Properties of Dirichlet Series -- 5. Probabilistic Methods for Dirichlet Series -- 6. Hardy Spaces of Dirichlet Series -- 7. Voronin Type theorems -- 8. Composition Operators on the Space H2 of Dirichlet Series.
Contained By:	Springer Nature eBook
Subject:	Diophantine approximation. -
Online resource:	https://doi.org/10.1007/978-981-15-9351-2
ISBN:	9789811593512

Diophantine Approximation and Dirichlet Series
Queffelec, Herve.

Diophantine Approximation and Dirichlet Series[electronic resource] /by Herve Queffelec, Martine Queffelec. - Second edition. - Singapore :Springer Singapore :2020. - xix, 287 p. :ill. (some col.), digital ;24 cm. - Texts and readings in mathematics,v.802366-8717 ;. - Texts and readings in mathematics ;v.80..

1. A Review of Commutative Harmonic Analysis -- 2. Ergodic Theory and Kronecker's Theorems -- 3. Diophantine Approximation -- 4. General Properties of Dirichlet Series -- 5. Probabilistic Methods for Dirichlet Series -- 6. Hardy Spaces of Dirichlet Series -- 7. Voronin Type theorems -- 8. Composition Operators on the Space H2 of Dirichlet Series.

The second edition of the book includes a new chapter on the study of composition operators on the Hardy space and their complete characterization by Gordon and Hedenmalm. The book is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their composition operators, and connections between these two domains which often occur through the Kronecker approximation theorem and the Bohr lift. The book initially discusses Harmonic analysis, including a sharp form of the uncertainty principle, Ergodic theory and Diophantine approximation, basics on continued fractions expansions, and the mixing property of the Gauss map and goes on to present the general theory of Dirichlet series with classes of examples connected to continued fractions, Bohr lift, sharp forms of the Bohnenblust-Hille theorem, Hardy-Dirichlet spaces, composition operators of the Hardy-Dirichlet space, and much more. Proofs throughout the book mix Hilbertian geometry, complex and harmonic analysis, number theory, and ergodic theory, featuring the richness of analytic theory of Dirichlet series. This self-contained book benefits beginners as well as researchers.

ISBN: 9789811593512

Standard No.: 10.1007/978-981-15-9351-2doiSubjects--Topical Terms:

705002
Diophantine approximation.

LC Class. No.: QA242 / .Q84 2020

Dewey Class. No.: 512.73

Diophantine Approximation and Dirichlet Series
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100 1 $a Queffelec, Herve. $3 3470464
245 1 0 $a Diophantine Approximation and Dirichlet Series $h [electronic resource] / $c by Herve Queffelec, Martine Queffelec.
250 $a Second edition.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2020.
300 $a xix, 287 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Texts and readings in mathematics, $x 2366-8717 ; $v v.80
505 0 $a 1. A Review of Commutative Harmonic Analysis -- 2. Ergodic Theory and Kronecker's Theorems -- 3. Diophantine Approximation -- 4. General Properties of Dirichlet Series -- 5. Probabilistic Methods for Dirichlet Series -- 6. Hardy Spaces of Dirichlet Series -- 7. Voronin Type theorems -- 8. Composition Operators on the Space H2 of Dirichlet Series.
520 $a The second edition of the book includes a new chapter on the study of composition operators on the Hardy space and their complete characterization by Gordon and Hedenmalm. The book is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their composition operators, and connections between these two domains which often occur through the Kronecker approximation theorem and the Bohr lift. The book initially discusses Harmonic analysis, including a sharp form of the uncertainty principle, Ergodic theory and Diophantine approximation, basics on continued fractions expansions, and the mixing property of the Gauss map and goes on to present the general theory of Dirichlet series with classes of examples connected to continued fractions, Bohr lift, sharp forms of the Bohnenblust-Hille theorem, Hardy-Dirichlet spaces, composition operators of the Hardy-Dirichlet space, and much more. Proofs throughout the book mix Hilbertian geometry, complex and harmonic analysis, number theory, and ergodic theory, featuring the richness of analytic theory of Dirichlet series. This self-contained book benefits beginners as well as researchers.
650 0 $a Diophantine approximation. $3 705002
650 0 $a Diophantine approximation $x Mathematical models. $3 2047472
650 0 $a Dirichlet series. $3 576019
650 0 $a Dirichlet series $x Mathematical models. $3 2047473
650 1 4 $a Mathematics, general. $3 895821
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 891276
650 2 4 $a Vibration, Dynamical Systems, Control. $3 893843
700 1 $a Queffelec, Martine. $3 1086645
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Texts and readings in mathematics ; $v v.80. $3 3530367
856 4 0 $u https://doi.org/10.1007/978-981-15-9351-2
950 $a Mathematics and Statistics (SpringerNature-11649)