Equipartition of energy for waves in symmetric space

DOI10.1016/0022-1236(91)90009-TzbMath0796.43006OpenAlexW2062975320MaRDI QIDQ1175014

Thomas P. Branson, Gestur Olafsson

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-1236(91)90009-t

zbMATH Keywords

Paley-Wiener theoremLie algebraLaplace-Beltrami operatorCartan subgroupsHarish-Chandra's functionmodified wave equationsemisimple Riemannian symmetric space

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Wave equation (35L05)

Related Items

Huygens' principle in Riemannian symmetric spaces ⋮ A survey on Huygens' principle ⋮ The wave equation for Dunkl operators ⋮ The Paley-Wiener theorem and the local Huygens' principle for compact symmetric spaces: the even multiplicity case ⋮ The shifted wave equation on non-flat harmonic manifolds ⋮ Wave propagation on Riemannian symmetric spaces ⋮ Huygens' principle for wave equations on symmetric spaces ⋮ The wave equation on homogeneous trees ⋮ Huygen principle and equipartition of energy for the modified wave equation associated to a generalized radial Laplacian

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