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Dirichlet Series and Holomorphic Functions in High Dimensions

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Title: Dirichlet Series and Holomorphic Functions in High Dimensions
Description: 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.
Authors: Andreas Defant, Domingo García, Manuel Maestre, Pablo Sevilla-Peris
Resource Type: eBook.
Subjects: Dirichlet series, Holomorphic functions, Functional analysis
Categories: MATHEMATICS / Algebra / Abstract
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 2172654
RelevancyScore: 1090
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1090.09973144531
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  Label: Title
  Group: Ti
  Data: Dirichlet Series and Holomorphic Functions in High Dimensions
– Name: Abstract
  Label: Description
  Group: Ab
  Data: 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.
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  Data: <searchLink fieldCode="AR" term="%22Andreas+Defant%22">Andreas Defant</searchLink><br /><searchLink fieldCode="AR" term="%22Domingo+García%22">Domingo García</searchLink><br /><searchLink fieldCode="AR" term="%22Manuel+Maestre%22">Manuel Maestre</searchLink><br /><searchLink fieldCode="AR" term="%22Pablo+Sevilla-Peris%22">Pablo Sevilla-Peris</searchLink>
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  Data: eBook.
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  Label: Subjects
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  Data: <searchLink fieldCode="DE" term="%22Dirichlet+series%22">Dirichlet series</searchLink><br /><searchLink fieldCode="DE" term="%22Holomorphic+functions%22">Holomorphic functions</searchLink><br /><searchLink fieldCode="DE" term="%22Functional+analysis%22">Functional analysis</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+Abstract%22">MATHEMATICS / Algebra / Abstract</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 512.7
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Dirichlet series
        Type: general
      – SubjectFull: Holomorphic functions
        Type: general
      – SubjectFull: Functional analysis
        Type: general
    Titles:
      – TitleFull: Dirichlet Series and Holomorphic Functions in High Dimensions
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Andreas Defant
      – PersonEntity:
          Name:
            NameFull: Domingo García
      – PersonEntity:
          Name:
            NameFull: Manuel Maestre
      – PersonEntity:
          Name:
            NameFull: Pablo Sevilla-Peris
      – PersonEntity:
          Name:
            NameFull: Andreas Defant
      – PersonEntity:
          Name:
            NameFull: Domingo García
      – PersonEntity:
          Name:
            NameFull: Manuel Maestre
      – PersonEntity:
          Name:
            NameFull: Pablo Sevilla-Peris
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2019
            – D: 17
              M: 09
              Type: profile
              Y: 2019
          Identifiers:
            – Type: isbn-print
              Value: 9781108476713
            – Type: isbn-electronic
              Value: 9781108755764
          Numbering:
            – Type: volume
              Value: 00037
          Titles:
            – TitleFull: Dirichlet Series and Holomorphic Functions in High Dimensions
              Type: main
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