Analyse harmonique des formes différentielles sur l'espace hyperbolique réel II. Transformation de Fourier sphérique et applications

DOI10.1016/S0764-4442(98)80012-8zbMath0917.43006OpenAlexW2008815907MaRDI QIDQ4217525

Emmanuel Pedon

Publication date: 2 August 1999

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(98)80012-8

zbMATH Keywords

Fourier transformdifferential formsPlancherel formulaheat kernelAbel transformFourier-Jacobi transformreal hyperbolic spaces\(L^2\) spherical Fourier transform

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)

Related Items (4)

The zeta functions of Ruelle and Selberg for hyperbolic manifolds with cusps ⋮ Horizontal lift of the Brownian motion on the hyperbolic plane and the Selberg trace formula ⋮ Some consequences of Arthur's work on the spectrum and topology of hyperbolic varieties ⋮ Harmonic analysis for differential forms on complex hyperbolic spaces

This page was built for publication: Analyse harmonique des formes différentielles sur l'espace hyperbolique réel II. Transformation de Fourier sphérique et applications