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

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We 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.
26 pages, 1 figure

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Analysis of PDEs, Differential Geometry, 53C35; 35L05

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http://salesiana.dossiersoluciones.com/handle/123456789/73268

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411383
 http://arxiv.org/abs/math/0411383

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arXiv