The Dirac operator on ultrahyperbolic manifolds (Q854369)

The authors are interested to build, in this paper, fundamental solutions for the Dirac operator on time-like or space-like ultrahyperbolic unitballs in spaces of signature \((m,q)\) and \((p,q)\) respectively, with \(p,q<m\). After a concise introduction illustrating their purpose, the method followed and the literature related to this work, the paper splits into five sections. 2. The projective model. 3. Ultrahyperbolic Clifford analysis. 4. Clifford analysis on spin\((p,q)\)-invariant manifolds. 5. The Dirac equation on \({\mathbb R}^{m,n}\). 6. The Dirac equation on \({\mathbb R}^{p,q}\).