Abstract convolution function algebras over homogeneous spaces of compact groups

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).

Download Full-text

Abstract Coherent State Transforms Over Homogeneous Spaces of Compact Groups

Complex Analysis and Operator Theory ◽

10.1007/s11785-017-0717-x ◽

2017 ◽

Vol 12 (7) ◽

pp. 1537-1548 ◽

Cited By ~ 1

Author(s):

Arash Ghaani Farashahi

Keyword(s):

Coherent State ◽

Homogeneous Spaces ◽

Compact Groups

Download Full-text

Abstract operator-valued Fourier transforms over homogeneous spaces of compact groups

Groups Geometry and Dynamics ◽

10.4171/ggd/434 ◽

2017 ◽

Vol 11 (4) ◽

pp. 1437-1467 ◽

Cited By ~ 5

Author(s):

Arash Ghaani Farashahi

Keyword(s):

Fourier Transforms ◽

Homogeneous Spaces ◽

Compact Groups ◽

Abstract Operator

Download Full-text

HOMOTOPY FIXED POINT SETS AND ACTIONS ON HOMOGENEOUS SPACES OF p-COMPACT GROUPS

Journal of the Korean Mathematical Society ◽

10.4134/jkms.2004.41.6.1101 ◽

2004 ◽

Vol 41 (6) ◽

pp. 1101-1114

Author(s):

Kenshi Ishiguro ◽

Hyang-Sook Lee

Keyword(s):

Fixed Point ◽

Homogeneous Spaces ◽

Compact Groups ◽

Point Sets ◽

Fixed Point Sets

Download Full-text

Polynomial Growth, Recurrence and Ergodicity for Random Walks on Locally Compact Groups and Homogeneous Spaces

Random Walks, Boundaries and Spectra ◽

10.1007/978-3-0346-0244-0_4 ◽

2011 ◽

pp. 65-74

Author(s):

Yves Guivarc’h ◽

C. R. E. Raja

Keyword(s):

Random Walks ◽

Polynomial Growth ◽

Homogeneous Spaces ◽

Locally Compact Groups ◽

Compact Groups ◽

Locally Compact

Download Full-text

Translation-invariant function algebras on compact groups

Pacific Journal of Mathematics ◽

10.2140/pjm.1965.15.1093 ◽

1965 ◽

Vol 15 (3) ◽

pp. 1093-1099 ◽

Cited By ~ 3

Author(s):

Joseph Wolf

Keyword(s):

Invariant Function ◽

Compact Groups ◽

Translation Invariant ◽

Function Algebras

Download Full-text

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

Colloquium Mathematicum ◽

10.4064/cm-55-2-285-304 ◽

1988 ◽

Vol 55 (2) ◽

pp. 285-304 ◽

Cited By ~ 1

Author(s):

R. E. Lewkowicz

Keyword(s):

Harmonic Functions ◽

Homogeneous Spaces ◽

Compact Groups

Download Full-text

Abstract measure algebras over homogeneous spaces of compact groups

International Journal of Mathematics ◽

10.1142/s0129167x18500052 ◽

2018 ◽

Vol 29 (01) ◽

pp. 1850005 ◽

Cited By ~ 3

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].

Download Full-text