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" Dirichlet series and holomorphic functions in high dimensions / "
Andreas Defant (Carl V. Ossietzky Universität Oldenburg, Germany), Domingo García (Universitat de València, Spain), Manuel Maestre (Universitat de València, Spain), Pablo Sevilla-Peris (Universitat Politècnica de València, Spain).
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BL
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| Record Number
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839573
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| Main Entry
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Defant, Andreas,1953-
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| Title & Author
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Dirichlet series and holomorphic functions in high dimensions /\ Andreas Defant (Carl V. Ossietzky Universität Oldenburg, Germany), Domingo García (Universitat de València, Spain), Manuel Maestre (Universitat de València, Spain), Pablo Sevilla-Peris (Universitat Politècnica de València, Spain).
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| Publication Statement
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Cambridge ;New York, NY :: Cambridge University Press,, 2019.
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| Series Statement
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New Mathematical Monographs ;; v. 37
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1 online resource (710 pages)
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| ISBN
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1108691617
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: 1108755763
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: 9781108691611
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: 9781108755764
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1108476716
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9781108476713
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Includes bibliographical references and index.
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| Contents
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Part 1 -- Bohr's Problem and Complex Analysis on Polydiscs -- 1 -- The Absolute Convergence Problem -- 2 -- Holomorphic Functions on Polydiscs -- 3 -- Bohr's Vision -- 4 -- Solution to the Problem -- 5 -- The Fourier Analysis Point of View -- 6 -- Inequalities I -- 7 -- Probabilistic Tools I -- 8 -- Multidimensional Bohr Radii -- 9 -- Strips under the Microscope -- 10 -- Monomial Convergence of Holomorphic Functions -- 11 -- Hardy Spaces of Dirichlet -- 12 -- Bohr's Problem in Hardy Spaces -- 13 -- Hardy Spaces and Holomorphy -- Part 2 -- Advanced Toolbox -- 14 -- Selected Topics on Banach Space Theory -- 15 -- Infinite Dimensional Holomorphy -- 16 -- Tensor Products -- 17 -- Probabilistic Tools II -- Part 3 -- Replacing Polydiscs by Other Balls -- 18 -- Hardy-Littlewood Inequality -- 19 -- Bohr Radii in Lp Spaces and Unconditionality -- 20 -- Monomial Convergence in Banach Sequence Spaces -- 21 -- Dineen's Problem -- 22 -- Back to Bohr Radii -- Part 4 -- Vector-Valued Aspects -- 23 -- Functions of One Variable
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| Abstract
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Using contemporary concepts, this book describes the interaction between Dirichlet series and holomorphic functions in high dimensions.
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| Subject
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Dirichlet series.
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Functional analysis.
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Holomorphic functions.
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Dirichlet series.
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Functional analysis.
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Holomorphic functions.
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| Dewey Classification
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512.7
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515.243
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| LC Classification
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QA295.D4585 2019
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| Added Entry
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Garcia, Domingo,1958 January 7-
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Maestre, Manuel
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Sevilla-Peris, Pablo
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