The Paley-Wiener Theorem and the Local Huygens' Principle for Compact Symmetric Spaces

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dc.creatorBranson, Thomas
dc.creatorOlafsson, Gestur
dc.creatorPasquale, Angela
dc.date2004-11-17
dc.date.accessioned2026-07-07T05:14:25Z
dc.date.available2026-07-07T05:14:25Z
dc.descriptionWe prove a Paley-Wiener Theorem for a class of symmetric spaces of the compact type, in which all root multiplicities are even. This theorem characterizes functions of small support in terms of holomorphic extendability and exponential type of their (discrete) Fourier transforms. We also provide three independent new proofs of the strong Huygens' principle for a suitable constant shift of the wave equation on odd-dimensional spaces from our class.
dc.description26 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0411383
dc.identifierhttp://arxiv.org/abs/math/0411383
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73268
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject53C35; 35L05
dc.titleThe Paley-Wiener Theorem and the Local Huygens' Principle for Compact Symmetric Spaces
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