Harmonic analysis for spinor fields in complex hyperbolic spaces (Q1588382)
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scientific article; zbMATH DE number 1539371
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Harmonic analysis for spinor fields in complex hyperbolic spaces |
scientific article; zbMATH DE number 1539371 |
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Harmonic analysis for spinor fields in complex hyperbolic spaces (English)
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25 January 2002
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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.
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harmonic analysis
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Dirac spinors
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complex hyperbolic space
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spinor spherical functions
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Jacobi functions
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