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

DOI10.4171/GGD/434zbMath1423.43010OpenAlexW2771910215MaRDI QIDQ1691968

Arash Ghaani Farashahi

Publication date: 25 January 2018

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ggd/434

zbMATH Keywords

Fourier transforminversion formulahomogeneous spacecompact groupcoset spacePoisson summation formulaHausdorff-Young inequalitytrigonometric polynomialWeil's formuladual homogeneous spacePlancherel (trace) formula

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Compact groups (22C05) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Measure algebras on groups, semigroups, etc. (43A10)

Related Items (10)

Abstract Banach convolution function modules over coset spaces of compact subgroups in locally compact groups ⋮ Characterizations of self-adjointness, normality of pseudo-differential operators on homogeneous space of compact groups ⋮ Absolutely convergent Fourier series of functions over homogeneous spaces of compact groups ⋮ Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups ⋮ Abstract measure algebras over homogeneous spaces of compact groups ⋮ Classical harmonic analysis over spaces of complex measures on coset spaces of compact subgroups ⋮ Trigonometric polynomials over homogeneous spaces of compact groups ⋮ Orlicz algebras on homogeneous spaces of compact groups and their abstract linear representations ⋮ Schatten class and nuclear pseudo-differential operators on homogeneous spaces of compact groups ⋮ Fourier-Stieltjes transforms over homogeneous spaces of compact groups

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