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Dirichlet series and holomorphic fun...

Defant, Andreas.

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Dirichlet series and holomorphic functions in high dimensions

Record Type:	Electronic resources : Monograph/item
Title/Author:	Dirichlet series and holomorphic functions in high dimensions/ Andreas Defant ... [et al.].
other author:	Defant, Andreas.
Published:	Cambridge :Cambridge University Press, : 2019.,
Description:	xxvii, 680 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 23 Jul 2019).
Subject:	Dirichlet series. -
Online resource:	https://doi.org/10.1017/9781108691611
ISBN:	9781108691611

Dirichlet series and holomorphic functions in high dimensions
Dirichlet series and holomorphic functions in high dimensions[electronic resource] /Andreas Defant ... [et al.]. - Cambridge :Cambridge University Press,2019. - xxvii, 680 p. :ill., digital ;24 cm. - New mathematical monographs ;37. - New mathematical monographs ;37..

Title from publisher's bibliographic system (viewed on 23 Jul 2019).

Over 100 years ago Harald Bohr identified a deep problem about the convergence of Dirichlet series, and introduced an ingenious idea relating Dirichlet series and holomorphic functions in high dimensions. Elaborating on this work, almost twnety years later Bohnenblust and Hille solved the problem posed by Bohr. In recent years there has been a substantial revival of interest in the research area opened up by these early contributions. This involves the intertwining of the classical work with modern functional analysis, harmonic analysis, infinite dimensional holomorphy and probability theory as well as analytic number theory. New challenging research problems have crystallized and been solved in recent decades. The goal of this book is to describe in detail some of the key elements of this new research area to a wide audience. The approach is based on three pillars: Dirichlet series, infinite dimensional holomorphy and harmonic analysis.

ISBN: 9781108691611Subjects--Topical Terms:

576019
Dirichlet series.

LC Class. No.: QA295

Dewey Class. No.: 512.7

Dirichlet series and holomorphic functions in high dimensions
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050 0 0 $a QA295
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245 0 0 $a Dirichlet series and holomorphic functions in high dimensions $h [electronic resource] / $c Andreas Defant ... [et al.].
260 $a Cambridge : $b Cambridge University Press, $c 2019.
300 $a xxvii, 680 p. : $b ill., digital ; $c 24 cm.
490 1 $a New mathematical monographs ; $v 37
500 $a Title from publisher's bibliographic system (viewed on 23 Jul 2019).
520 $a Over 100 years ago Harald Bohr identified a deep problem about the convergence of Dirichlet series, and introduced an ingenious idea relating Dirichlet series and holomorphic functions in high dimensions. Elaborating on this work, almost twnety years later Bohnenblust and Hille solved the problem posed by Bohr. In recent years there has been a substantial revival of interest in the research area opened up by these early contributions. This involves the intertwining of the classical work with modern functional analysis, harmonic analysis, infinite dimensional holomorphy and probability theory as well as analytic number theory. New challenging research problems have crystallized and been solved in recent decades. The goal of this book is to describe in detail some of the key elements of this new research area to a wide audience. The approach is based on three pillars: Dirichlet series, infinite dimensional holomorphy and harmonic analysis.
650 0 $a Dirichlet series. $3 576019
650 0 $a Holomorphic functions. $3 700319
650 0 $a Functional analysis. $3 531838
700 1 $a Defant, Andreas. $3 1641785
830 0 $a New mathematical monographs ; $v 37. $3 3616061
856 4 0 $u https://doi.org/10.1017/9781108691611