Harmonic analysis for spinor fields in complex hyperbolic spaces
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.
scientific article; zbMATH DE number 1539371
scientific article