The Paley-Wiener theorem for the Jacobi transform and the local Huygens' principle for root systems with even multiplicities

DOI10.1016/S0019-3577(05)80034-5zbMath1168.43302arXivmath/0508234MaRDI QIDQ855593

Angela Pasquale, Thomas P. Branson, Gestur Olafsson

Publication date: 7 December 2006

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508234

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Wave equation (35L05) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Hypergeometric functions associated with root systems (33C67) Orthogonal polynomials and functions associated with root systems (33C52)

Related Items (7)

The Paley-Wiener theorem and the local Huygens' principle for compact symmetric spaces: the even multiplicity case ⋮ Huygens' principle and a Paley-Wiener type theorem on Damek-Ricci spaces ⋮ The shifted wave equation on non-flat harmonic manifolds ⋮ Ramanujan's master theorem for the hypergeometric Fourier transform associated with root systems ⋮ A local Paley-Wiener theorem for compact symmetric spaces ⋮ Fourier series on compact symmetric spaces: \(K\)-finite functions of small support ⋮ New Paley-Wiener theorems

Cites Work

• Unnamed Item
• The Paley-Wiener theorem and the local Huygens' principle for compact symmetric spaces: the even multiplicity case
• Lecture notes on Dunkl operators for real and complex reflection groups
• A Paley-Wiener theorem for the \(\Theta\)-hypergeometric transform: the even multiplicity case
• Harmonic analysis for certain representations of graded Hecke algebras

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