Harmonic analysis for spinor fields in complex hyperbolic spaces
type: Item
instance of: scholarly article
title: Harmonic analysis for spinor fields in complex hyperbolic spaces
zbMATH Open document ID: 0978.43004
author: Roberto Camporesi
published in: Advances in Mathematics
publication date: 2002-01-25T00:00:00Z
review text: The purpose of this paper is to develop \(L^{2}\) harmonic analysis for Dirac spinors on the complex hyperbolic space \(H^{n}(C)= SU(n,1)/S(U(n) \times U(1))\). The spinor spherical functions are calculated in terms of Jacobi functions and the Plancherel and Paley-Wiener theorems for the spherical transform are obtained by reduction to Jacobi analysis.
Mathematics Subject Classification ID: 43A85
zbMATH DE Number: 1539371
zbMATH Keywords: harmonic analysis
zbMATH Keywords: Dirac spinors
zbMATH Keywords: complex hyperbolic space
zbMATH Keywords: spinor spherical functions
zbMATH Keywords: Jacobi functions
reviewed by: Nicolae A. Soare
MaRDI profile type: Publication
full work available at URL: aima.2000.1929
OpenAlex ID: W1982354929
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DOI: 10.1006/AIMA.2000.1929
description: scientific article; zbMATH DE number 1539371