scholarly journals Harmonic functions on homogeneous spaces of commutator induced extensions of compact groups

1988 ◽  
Vol 55 (2) ◽  
pp. 285-304 ◽  
Author(s):  
R. E. Lewkowicz
Keyword(s):  
Harmonic Functions ◽  
Homogeneous Spaces ◽  
Compact Groups

Harmonic Functions on Homogeneous Spaces

1999 ◽  
Vol 128 (3) ◽  
pp. 227-235 ◽  
Author(s):  
Cho-Ho Chu ◽  
Chi-Wai Leung
Keyword(s):  
Harmonic Functions ◽  
Homogeneous Spaces

A Class of Abstract Linear Representations for Convolution Function Algebras over Homogeneous Spaces of Compact Groups

2018 ◽  
Vol 70 (1) ◽  
pp. 97-116 ◽  
Author(s):  
Arash Ghaani Farashahi
Keyword(s):  
Invariant Measure ◽  
Compact Group ◽  
Homogeneous Space ◽  
Closed Subgroup ◽  
Homogeneous Spaces ◽  
Compact Groups ◽  
Compact Homogeneous Space ◽  
Linear Representations ◽  
Function Algebras ◽  
Convolution Function

AbstractThis paper introduces a class of abstract linear representations on Banach convolution function algebras over homogeneous spaces of compact groups. LetGbe a compact group andHa closed subgroup ofG. Letμbe the normalizedG-invariant measure over the compact homogeneous spaceG/Hassociated with Weil's formula and. We then present a structured class of abstract linear representations of the Banach convolution function algebrasLp(G/H,μ).

scholarly journals Stationary harmonic functions on homogeneous spaces

2015 ◽  
Vol 7 (4) ◽  
pp. 155-159 ◽  
Author(s):  
Vasylyna Stepanivna Khoroshchak
Keyword(s):  
Harmonic Functions ◽  
Homogeneous Spaces

Abstract measure algebras over homogeneous spaces of compact groups

2018 ◽  
Vol 29 (01) ◽  
pp. 1850005 ◽  
Author(s):  
Arash Ghaani Farashahi
Keyword(s):  
Compact Group ◽  
Systematic Study ◽  
Measure Space ◽  
Closed Subgroup ◽  
Homogeneous Spaces ◽  
Compact Groups ◽  
Coset Space ◽  
Left Coset ◽  
Abstract Measure

This paper presents a systematic study for abstract Banach measure algebras over homogeneous spaces of compact groups. Let [Formula: see text] be a closed subgroup of a compact group [Formula: see text] and [Formula: see text] be the left coset space associated to the subgroup [Formula: see text] in [Formula: see text]. Also, let [Formula: see text] be the Banach measure space consists of all complex measures over [Formula: see text]. Then we introduce the abstract notions of convolution and involution over the Banach measure space [Formula: see text].

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