Dirichlet series and holomorphic functions in high dimensions /
General Material Designation
[Book]
First Statement of Responsibility
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).
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY :
Name of Publisher, Distributor, etc.
Cambridge University Press,
Date of Publication, Distribution, etc.
2019.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (710 pages)
SERIES
Series Title
New Mathematical Monographs ;
Volume Designation
v. 37
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
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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SUMMARY OR ABSTRACT
Text of Note
Using contemporary concepts, this book describes the interaction between Dirichlet series and holomorphic functions in high dimensions.
OTHER EDITION IN ANOTHER MEDIUM
Title
Dirichlet Series and Holomorphic Functions in High Dimensions.