The Paley-Wiener theorem and the local Huygens' principle for compact symmetric spaces: the even multiplicity case

DOI10.1016/S0019-3577(05)80033-3zbMath1113.53034arXivmath/0411383WikidataQ125983257 ScholiaQ125983257MaRDI QIDQ855592

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/0411383

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Wave equation (35L05) Analysis on real and complex Lie groups (22E30) Differential geometry of symmetric spaces (53C35) Harmonic analysis and spherical functions (43A90)

Related Items (10)

Asymptotic analysis of \(\Theta\)-hypergeometric functions ⋮ The Paley-Wiener theorem for the Jacobi transform and the local Huygens' principle for root systems with even multiplicities ⋮ Support theorem for the fundamental solution to the Schrödinger equation on certain compact symmetric spaces ⋮ Ramanujan's master theorem for Riemannian symmetric spaces ⋮ The Paley-Wiener theorem and limits of symmetric spaces ⋮ A local Paley-Wiener theorem for compact symmetric spaces ⋮ Fourier series on compact symmetric spaces: \(K\)-finite functions of small support ⋮ The spherical Paley-Wiener theorem on the complex Grassmann manifolds SU(𝑝+𝑞)/S(U_{𝑝}×U_{𝑞}) ⋮ New Paley-Wiener theorems ⋮ Convolution algebras for Heckman-Opdam polynomials derived from compact Grassmannians

Cites Work

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