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Titlebook: Diophantine Approximation and Dirichlet Series; Hervé Queffélec,Martine Queffélec Book 2020Latest edition Hindustan Book Agency 2020 and S

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發(fā)表于 2025-3-21 17:58:14 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Diophantine Approximation and Dirichlet Series
編輯Hervé Queffélec,Martine Queffélec
視頻videohttp://file.papertrans.cn/281/280534/280534.mp4
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
叢書(shū)名稱Texts and Readings in Mathematics
圖書(shū)封面Titlebook: Diophantine Approximation and Dirichlet Series;  Hervé Queffélec,Martine Queffélec Book 2020Latest edition Hindustan Book Agency 2020 and S
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
關(guān)鍵詞Diophantine approximation; Gauss; Dirichlet series; Bohr point; Hardy-Dirichlet spaces; Bagchi-Voronin th
版次2
doihttps://doi.org/10.1007/978-981-15-9351-2
isbn_softcover978-981-15-9669-8
isbn_ebook978-981-15-9351-2Series ISSN 2366-8717 Series E-ISSN 2366-8725
issn_series 2366-8717
copyrightHindustan Book Agency 2020 and Springer Nature Singapore Pte Ltd 2020
The information of publication is updating

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https://doi.org/10.1007/978-3-319-58039-5Throughout this chapter, [.] denotes the integral part and . the fractional part of the real number . so that .; moreover we shall use the notation . for the closest distance of . to an element of ..
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https://doi.org/10.1007/978-3-319-23374-1The forthcoming spaces .of Dirichlet series ., analogous to the familiar Hardy spaces . on the unit disk, have been successfully introduced to study completeness problems in Hilbert spaces [.], first for .. Later on, the general case was considered in [.] for the study of composition operators.
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Franz-Benjamin Mocnik,Andrew U. FrankIn this?introductory section, we begin by fixing some notations, recalling some basic facts on Dirichlet characters?[., Chap.?5] and presenting the main results to be discussed. The techniques (Hilbertian spaces of analytic functions, ergodic theorems) are a good illustration of the material introduced in the previous chapters.
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Richard Dapoigny,Patrick BarlatierThe general framework for composition operators acting on a Banach space . of functions analytic on a domain . of . is the following: we always assume that . is continuously embedded in the Fréchet space ., so that the point evaluations . are continuous linear forms on . for each ..
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