國立虎尾科技大學 |

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, Domingo García, Manuel Maestre, Pablo Sevilla-Peris.
Author:	Defant, Andreas,
other author:	Garcia, Domingo,
Description:	1 online resource (xxvii, 680 pages) :digital, PDF file(s). :
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 (ebook)

Dirichlet series and holomorphic functions in high dimensions /
Defant, Andreas,1953-

Dirichlet series and holomorphic functions in high dimensions /Andreas Defant, Domingo García, Manuel Maestre, Pablo Sevilla-Peris. - 1 online resource (xxvii, 680 pages) :digital, PDF file(s). - 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: 9781108691611 (ebook)Subjects--Topical Terms:

768952
Dirichlet series.

LC Class. No.: QA295 / .D4585 2019

Dewey Class. No.: 512.7

Dirichlet series and holomorphic functions in high dimensions /
LDR:02019nam a22002898i 4500 001 1122936
003 UkCbUP
005 20190809141153.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2019||||enk o ||1 0|eng|d
020 $a 9781108691611 (ebook)
020 $z 9781108476713 (hardback)
035 $a CR9781108691611
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA295 $b .D4585 2019
082 0 0 $a 512.7 $2 23
100 1 $a Defant, Andreas, $d 1953- $e author. $3 1439464
245 1 0 $a Dirichlet series and holomorphic functions in high dimensions / $c Andreas Defant, Domingo García, Manuel Maestre, Pablo Sevilla-Peris.
264 1 $a Cambridge : $b Cambridge University Press, $c 2019.
300 $a 1 online resource (xxvii, 680 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
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 Garcia, Domingo, $d 1958 January 7- $e author. $3 1439465
700 1 $a Maestre, Manuel, $e author. $3 1439466
700 1 $a Sevilla-Peris, Pablo, $e author. $3 1439467
776 0 8 $i Print version: $z 9781108476713
830 0 $a New mathematical monographs ; $v 31. $3 1238333
856 4 0 $u https://doi.org/10.1017/9781108691611