Fourier analysis on coset spaces

DOI10.1216/rmjm/1181071828zbMath0922.43007OpenAlexW2061060390MaRDI QIDQ1288317

Brian E. Forrest

Publication date: 11 May 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol28-1/CONT281/CONT281.html

zbMATH Keywords

homogeneous spacelocally compact groupamenableFourier algebraFourier-Stieltjes algebras

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

Operator amenability of Fourier-Stieltjes algebras, II, On a theorem of reiter and spectral synthesis, Jordan structures in harmonic functions and Fourier algebras on homogeneous spaces, Dual Banach algebras associated to the coset space of a locally compact group, Harmonic operators: the dual perspective, Reduced spectral synthesis and compact operator synthesis, Feichtinger's Segal algebra on homogeneous spaces, Linear preservers on idempotents of Fourier algebras, On character amenability of the Fourier algebra, Fourier algebras on homogeneous spaces, Power boundedness in the Fourier and Fourier-Stieltjes algebras on homogeneous spaces, Various notions of amenability in Banach algebras, Malliavin's theorem for weak synthesis on nonabelian groups, Homomorphisms of convolution algebras, Unnamed Item, Spectral synthesis in Fourier algebras of ultrapherical hypergroups, Spectral synthesis for $A(G)$ and subspaces of $VN(G)$, Spectral synthesis in the Fourier algebra and the Varopoulos algebra, Homological properties of Fourier algebras on homogeneous spaces, Amenability of Banach and C$^*$-algebras generated by unitary representations, Covariant functions of characters of compact subgroups, Fourier-Stieltjes transforms over homogeneous spaces of compact groups, SOME HOMOLOGICAL PROPERTIES OF FOURIER ALGEBRAS ON HOMOGENEOUS SPACES, Amenability and weak amenability of the Fourier algebra, Structural transition between \(L^{p}(G)\) and \(L^{p}(G/H)\)

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