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Algebras of abstract harmonic analysis

Algebras of abstract harmonic analysis
抽象调和分析的代数
批准号:
RGPIN-2015-04024
负责人:
Spronk, Nicolaas
金额:
$1.02万
依托单位:
依托单位国家:
加拿大
项目类别:
Discovery Grants Program - Individual
财政年份:
2015
资助国家:
加拿大
项目状态:
已结题
起止时间:
2015-01-01 至 2016-12-31

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中文摘要
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英文摘要
The mathematical concept of a group is the most basic expression of symmetry. An object like a square admits only finitely many symmetries, whereas a sphere or plane admits infinitely many. In order to keep the analysis of such a group of symmetries more tractable, and to remember more of the spatial features of the underlying sphere or plane, say, one needs to deal with the spatial properties of the symmetry group, a concept we call topology. Hence we obtain topological groups. Furthermore, most natural examples, such as those above, suggest a certain finiteness near individual points, a condition we call local compactness.
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Topological group actions and associated Banach algebras
  • 批准号:
    RGPIN-2020-04214
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.97万
  • 财政年份:
    2022
  • 负责人:
    Spronk, Nicolaas
  • 依托单位:
Topological group actions and associated Banach algebras
  • 批准号:
    RGPIN-2020-04214
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.97万
  • 财政年份:
    2021
  • 负责人:
    Spronk, Nicolaas
  • 依托单位:
Topological group actions and associated Banach algebras
  • 批准号:
    RGPIN-2020-04214
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.97万
  • 财政年份:
    2020
  • 负责人:
    Spronk, Nicolaas
  • 依托单位:
Algebras of abstract harmonic analysis
  • 批准号:
    RGPIN-2015-04024
  • 项目类别:
    Discovery Grants Program - Individual
  • 资助金额:
    $1.02万
  • 财政年份:
    2019
  • 负责人:
    Spronk, Nicolaas
  • 依托单位:
海外基金