| 书目名称 | Diophantine Approximation and Dirichlet Series | | 编辑 | Hervé Queffélec,Martine Queffélec | | 视频video | | | 概述 | Includes a new chapter on the study of composition operators on the Hardy spaces.Combines different aspects of Dirichlet series in a way not presented before in other publications.Constructs rigorous | | 丛书名称 | Texts and Readings in Mathematics | | 图书封面 |  | | 描述 | 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... .. .. .. . | | 出版日期 | Book 2020Latest edition | | 关键词 | Diophantine approximation; Gauss; Dirichlet series; Bohr point; Hardy-Dirichlet spaces; Bagchi-Voronin th | | 版次 | 2 | | doi | https://doi.org/10.1007/978-981-15-9351-2 | | isbn_softcover | 978-981-15-9669-8 | | isbn_ebook | 978-981-15-9351-2Series ISSN 2366-8717 Series E-ISSN 2366-8725 | | issn_series | 2366-8717 | | copyright | Hindustan Book Agency 2020 and Springer Nature Singapore Pte Ltd 2020 |
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发表于 2025-3-21 17:58:14
