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Clifford analysis on projective hyperbolic space II
Author(s) -
Sommen F.,
Cerejeiras P.,
Kähler U.
Publication year - 2002
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.382
Subject(s) - mathematics , clifford analysis , hyperbolic space , pure mathematics , clifford algebra , hyperbolic manifold , complex projective space , projective test , real projective space , unit sphere , space (punctuation) , homogeneous , quaternionic projective space , real projective line , dirac operator , mathematical analysis , projective space , algebra over a field , hyperbolic function , combinatorics , linguistics , philosophy
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 Q p ‐spaces and study some of its basic properties. Copyright © 2002 John Wiley & Sons, Ltd.