Characterization of the Lp-range of the Poisson transform on the Octonionic Hyperbolic Plane
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Publication:4583915
zbMath1395.43006arXiv1705.04306MaRDI QIDQ4583915
Abdelhamid Boussejra, Nadia Ourchane
Publication date: 28 August 2018
Full work available at URL: https://arxiv.org/abs/1705.04306
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Harmonic analysis on homogeneous spaces (43A85)
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A characterization of the \(L^2\)-range of the Poisson transforms on a class of vector bundles over the quaternionic hyperbolic spaces ⋮ \(L^2\)-Poisson integral representations of eigensections of invariant differential operators on a homogeneous line bundle over the complex Grassmann manifold \(SU(r,r+b)/S( U(r)\times U(r+b))\)
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