Description: Diophantine Approximation and Dirichlet Series Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Herve Queffelec, Martine Queffelec Format: Hardback Publisher: Springer Verlag, Singapore, Singapore Imprint: Springer Verlag, Singapore ISBN-13: 9789811593505, 978-9811593505 Synopsis 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.
Price: 89.7 GBP
Location: Aldershot
End Time: 2025-02-03T09:02:30.000Z
Shipping Cost: 40.33 GBP
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Book Title: Diophantine Approximation and Dirichlet Series
Number of Pages: 287 Pages
Language: English
Publication Name: Diophantine Approximation and Dirichlet Series
Publisher: Springer Verlag, Singapore
Publication Year: 2021
Subject: Mathematics
Item Height: 235 mm
Item Weight: 660 g
Type: Textbook
Author: Martine Queffelec, Herve Queffelec
Subject Area: Mechanical Engineering
Series: Texts and Readings in Mathematics
Item Width: 155 mm
Format: Hardcover
