Wave propagation on Riemannian symmetric spaces

DOI10.1016/0022-1236(92)90107-TzbMath0757.58037MaRDI QIDQ1193909

Henrik Schlichtkrull, Gestur Olafsson

Publication date: 27 September 1992

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

zbMATH Keywords

wave equationRadon transformLaplace-Beltrami operatorRiemannian symmetric spaceHuygen's principleCartan group

Mathematics Subject Classification ID

Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Hyperbolic equations on manifolds (58J45)

Related Items

Huygens' principle in Riemannian symmetric spaces, \(L^ \infty\)-decay estimations of the spherical mean value on symmetric spaces, The Paley-Wiener theorem and the local Huygens' principle for compact symmetric spaces: the even multiplicity case, Normally hyperbolic operators, the Huygens property and conformal geometry, Integrability and Huygens' principle on symmetric spaces, Pointwise Fourier inversion: A wave equation approach, Support theorem for the fundamental solution to the Schrödinger equation on certain compact symmetric spaces, Isometry theorem for the Segal-Bargmann transform on a noncompact symmetric space of the complex type, The shifted wave equation on non-flat harmonic manifolds, Scattering on Riemannian Symmetric Spaces and Huygens Principle, Huygens' principle and integrable systems, 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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