Title 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)

Published Cambridge ; New York, NY : Cambridge University Press, 2019

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Description 1 online resource (710 pages) Series New Mathematical Monographs ; v. 37 New mathematical monographs ; 37. Contents 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 Summary Using contemporary concepts, this book describes the interaction between Dirichlet series and holomorphic functions in high dimensions Bibliography Includes bibliographical references and index Notes Online resource; title from digital title page (viewed on September 17, 2019) Subject Dirichlet series. Holomorphic functions. Functional analysis. Análisis funcional Dirichlet series Functional analysis Holomorphic functions Form Electronic book Author Garcia, Domingo, 1958 January 7- author. Maestre, Manuel, author. Sevilla-Peris, Pablo, author. ISBN 1108755763 9781108691611 1108691617 9781108755764

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