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Abstract harmonic analysis over spaces of complex measures on homogeneous spaces of compact groups

Arash Ghaani Farashahi
대한수학회 (The Korean Mathematical Society)|2017.07|대한수학회보 (Bulletin of the KMS)|제54권 제4호|pp. 1229-1240

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참고문헌

키워드

compact grouphomogeneous spacecomplex measure
주제분류수학

초록

This paper presents a systematic study of the abstract harmonic analysis over spaces of complex measures on homogeneous spaces of compact groups. Let $G$ be a compact group and $H$ be a closed subgroup of $G$. Then we study abstract harmonic analysis of complex measures over the left coset space $G/H$.

Abstract

This paper presents a systematic study of the abstract harmonic analysis over spaces of complex measures on homogeneous spaces of compact groups. Let $G$ be a compact group and $H$ be a closed subgroup of $G$. Then we study abstract harmonic analysis of complex measures over the left coset space $G/H$.

참고문헌 (24)

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  8. A. Ghaani Farashahi, "Abstract harmonic analysis of relative convolutions over canonical homogeneous spaces of semidirect product groups", J. Aust. Math. Soc, 101(2), pp.171~187 (2016)
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  11. Arash Ghaani Farashahi, "Abstract Plancherel (Trace) Formulas over Homogeneous Spaces of Compact Groups", Canadian Mathematical Bulletin, 60(1), pp.111~121 (2017), Canadian Mathematical Society[DOI]
  12. Arash Ghaani Farashahi, "ABSTRACT RELATIVE FOURIER TRANSFORMS OVER CANONICAL HOMOGENEOUS SPACES OF SEMI-DIRECT PRODUCT GROUPS WITH ABELIAN NORMAL FACTOR", 대한수학회지, 54(1), pp.117~139 (2017), 대한수학회
  13. Arash Ghaani Farashahi, "A Class of Abstract Linear Representations for Convolution Function Algebras over Homogeneous Spaces of Compact Groups", Canadian Journal of Mathematics, 70(1), pp.97~116 (2018), Canadian Mathematical Society[DOI]
  14. A. Ghaani Farashahi, "Abstract convolution function algebras over homogeneous spaces of compact groups", Illinois J. Math.
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관련 논문AI추천

ABSTRACT RELATIVE FOURIER TRANSFORMS OVER CANONICAL HOMOGENEOUS SPACES OF SEMI-DIRECT PRODUCT GROUPS WITH ABELIAN NORMAL FACTORArash Ghaani Farashahi대한수학회 · 대한수학회지2017 · 제54권 제1호Dual Integrable Representations of HypergroupsSeyyed Mohammad Tabatabaie, Soheila Jokar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2022 · 제62권 제4호WEAK AMENABILITY OF CONVOLUTION BANACH ALGEBRAS ON COMPACT HYPERGROUPSHojjatollah Samea대한수학회 · 대한수학회보2010 · 제47권 제2호Constructions of Segal algebras in $L^1(G)$ of LCA groups $G$ in which a generalized Poisson summation formula holdsJyunji Inoue, Sin-Ei Takahasi대한수학회 · 대한수학회지2022 · 제59권 제2호Almost convergence for not necessarily locally compact groupsA. I. Shtern장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제2호Qualitative uncertainty principle for Gabor transformAjay Kumar, Ashish Bansal대한수학회 · 대한수학회보2017 · 제54권 제1호

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