Characterization of almost 𝐿^{𝑝}-eigenfunctions of the Laplace-Beltrami operator

DOI10.1090/S0002-9947-2013-06004-7zbMath1290.43014arXiv1204.1127OpenAlexW2907815512MaRDI QIDQ5420110

Swagato K. Ray, Pratyoosh Kumar, Rudra P. Sarkar

Publication date: 11 June 2014

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1127

zbMATH Keywords

symmetric spacespectrum of LaplacianDamek-Ricci spaceeigenfunction of Laplacian

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30)

Related Items (9)

A theorem of Roe and Strichartz on homogeneous trees ⋮ Chaotic dynamics of the heat semigroup on the Damek-Ricci spaces ⋮ Roe–Strichartz theorem on two‐step nilpotent Lie groups^a ⋮ A characterization of the \(L^2\)-range of the Poisson transforms on a class of vector bundles over the quaternionic hyperbolic spaces ⋮ Characterization of eigenfunctions of the Laplace-Beltrami operator using Fourier multipliers ⋮ Characterization of the Lp-range of the Poisson transform on the Octonionic Hyperbolic Plane ⋮ Characterization of eigenfunctions of the Laplace-Beltrami operator through heat propagation in small time ⋮ Unnamed Item ⋮ \(L^2\)-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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