Diophantine Approximation and Dirichlet Series (Paperback, 2nd ed. 2020)

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.

General

Imprint:	Springer Verlag, Singapore
Country of origin:	Singapore
Release date:	2022
First published:	2020
Authors:	Herve Queffelec • Martine Queffelec
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	287
Edition:	2nd ed. 2020
ISBN-13:	978-981-15-9669-8
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > Dynamics & vibration
LSN:	981-15-9669-7
Barcode:	9789811596698

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