An \(L^ p \)Fourier analysis on symmetric spaces

DOI10.1016/0022-1236(82)90106-9zbMath0493.43006OpenAlexW2044335331MaRDI QIDQ1168546

Masaaki Eguchi, Keisaku Kumahara

Publication date: 1982

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90106-9

zbMATH Keywords

Riemannian manifoldanalytic continuationspherical Fourier transformSchwartz function

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Harmonic analysis and spherical functions (43A90) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (6)

A Hardy-Littlewood theorem for spherical Fourier transforms on symmetric spaces ⋮ Fourier and Radon transform on harmonic 𝑁𝐴 groups ⋮ Asymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications ⋮ Unnamed Item ⋮ The role of restriction theorems in harmonic analysis on harmonic \(NA\) groups ⋮ Growth properties of Fourier transforms via moduli of continuity

Cites Work

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• Asymptotic expansions of Eisenstein integrals and Fourier transform on symmetric spaces
• Riemann-Lebesgue lemma for real reductive groups
• Harmonic analysis on \(SL(n,C)\)
• The bounded spherical functions on symmetric spaces
• Spherical transforms on semisimple Lie groups
• Uniformly Bounded Representations and Harmonic Analysis of the 2 x 2 Real Unimodular Group
• Uniformly Bounded Representations of SL(2,C)

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