Clifford analysis on projective hyperbolic space II

Clifford analysis on projective hyperbolic space II

In this paper, we identify the hyperbolic unit ball with the manifold of rays within the future null cone. By means of theinduced Clifford algebra structure there we obtain the definition of Dirac operators on sections of homogeneous line bundles and a homogeneous version of the Borel–Pompeiu formul...

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Veröffentlicht in:Mathematical methods in the applied sciences 2002-11, Vol.25 (16-18), p.1465-1477
Hauptverfasser: Sommen, F., Cerejeiras, P., Kähler, U.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Functions of a complex variable
Mathematical analysis
Mathematics
Operator theory
Sciences and techniques of general use
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Zusammenfassung:In this paper, we identify the hyperbolic unit ball with the manifold of rays within the future null cone. By means of theinduced Clifford algebra structure there we obtain the definition of Dirac operators on sections of homogeneous line bundles and a homogeneous version of the Borel–Pompeiu formula. Finally, we introduce for this projective model of hyperbolic space a scale of the so‐called Qp‐spaces and study some of its basic properties. Copyright © 2002 John Wiley & Sons, Ltd.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.382