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Dirichlet series and holomorphic functions in high dimensions

Record Type:	Language materials, printed : 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 ;31..

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:

768952
Dirichlet series.

LC Class. No.: QA295

Dewey Class. No.: 512.7

Dirichlet series and holomorphic functions in high dimensions
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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 768952
650 0 $a Holomorphic functions. $3 672030
650 0 $a Functional analysis. $3 527706
700 1 $a Defant, Andreas. $3 787420
830 0 $a New mathematical monographs ; $v 31. $3 1238333
856 4 0 $u https://doi.org/10.1017/9781108691611