Clifford analysis on spheres and hyperbolae

Mathematical Methods in the Applied Sciences

Volumn 20, Issue 18, 1997, Pages 1617-1624

  Ryan, John ^a  

^a UNIVERSITY OF ARKANSAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTATIONAL GEOMETRY; PROBLEM SOLVING; THEOREM PROVING;

BERGMANN SPACES; CLIFFORD ANALYSIS; DIRICHLET PROBLEMS; EUCLIDEAN SPACES;

MATHEMATICAL OPERATORS;

EID: 0031359587     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(199712)20:18<1617::AID-MMA926>3.0.CO;2-X     Document Type: Article

References (16)

1. A expressed through 2×2 matrices of Clifford numbers', Complex Variables, 5, 215-224 (1986).
2. Booss-Bavnbeck, B. and Wojciechowski, K., Elliptic Boundry Problems for Dirac Operators, Birkhauser, Boston, 1993.
3. Brackx, F., Delanghe, R. and Sommen, F., Clifford Analysis, Pitman, London, 1982.
4. Caderbank, D., 'Clifford analysis for Dirac operators on manifolds with boundary' to appear.
5. Cnops, J., Hurwitz paris and applications of Möbius transformations, Thesis, Gent State University, Belgium, 1994.
6. Dixon, A. C., 'On the Newtonian potential',Quart. J. Math., 35, 283-196 (1904).
7. Guerlebeck, K. and Sproessing, W., Quaternionic Analysis and Elliptic Boundary Value Problems, Birkhauser, Boston, 1990.
8. Porteous, I., Clifford Algebras and the Classical Groups, Cambridge University Press, Cambridge, 1995.
9. Qian, T. and Ryan, J., 'Conformal transformation and Hardy spaces arising in Clifford analysis', J. Operator Theory, 35, 349-372 (1996).
10. Ryan, J, Conformal Clifford manifolds arising in Clifford analysis,. Proc. Roy. Irish Acad., 85A, 1-23 (1985).
11. Ryan, J, 'Dirac operators on spheres and hyperbolac', to appear in Boletin de la Sociedard Matematica a Mexicana.
12. Ryan, J., Clifford analysis and Hardy 2-spaces on spheres and hyperbolae, Proceedings of the Symposium on Analytical and Numerical Methods in Quaternionic and Clifford Analysis, 153-188, Freiberg University Press, 1997.
13. Sudbery, A., 'Quaternionic analysis', Math. Proc. Cambridge Phil. Soc., 85, 199-225 (1979).
14. Vahlen, K. Th, 'Über Bewegungen und complexe Zahlen', Math. Ann., 55, 585-593 (1902).
15. van Lancker, P., 'Clifford analysis on the sphere' , to appear.
16. Wada, M., Conjugacy invariants of Moebius transformations', Complex Variables, 15, 125-133 (1990).