Fourier analysis on compact symmetric space

DOI10.1090/S0002-9904-1977-14278-XzbMath0357.43006MaRDI QIDQ4129900

Thomas O. Sherman

Publication date: 1977

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Differential geometry of symmetric spaces (53C35) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items

A local Levinson theorem for compact symmetric spaces, Harmonic analysis on reductive Lie groups, The Helgason Fourier transform for compact Riemannian symmetric spaces of rank one, Fourier series on compact symmetric spaces: \(K\)-finite functions of small support, Moyal quantization with compact symmetry groups and noncommutative harmonic analysis

Cites Work

• A duality for symmetric spaces with applications to group representations
• Fourier Analysis on the Sphere
• Mean Convergence of Fourier Series on Compact Lie Groups