The q-Laplace operator and q-harmonic polynomials on the quantum vector space

Journal of Mathematical Physics

Volumn 42, Issue 3, 2001, Pages 1326-1345

  Iorgov, N Z ^a   Klimyk, A U ^a  

^a BOGOLYUBOV INSTITUTE FOR THEORETICAL PHYSICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035530266     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1343092     Document Type: Article

References (16)

1. N. Ja. Vilenkin and A. U. Klimyk, Representation of Lie Groups and Special Functions (Kluwer Academic, Dordrecht, 1993), Vol. 2.
2. A. M. Gavrilik and A. U. Klimyk, Lett. Math. Phys. 21, 215 (1991).
3. A. M. Gavrilik, Proc. Inst. Math. NAS Ukraine 30, 304 (2000).
4. J. Nelson and T. Regge, Commun. Math. Phys. 155, 561 (1993).
5. M. Noumi, T. Umeda, and M. Wakayama, Compositio Mathematica 104, 227 (1996).
6. M. Noumi, Adv. Math. 123, 16 (1996).
7. A. U. Klimyk, in Proceedings of the International Symposium on Quantum Theory and Symmetries, edited by H.-D. Doebner et al. (World Scientific, Singapore, 2000), p. 459.
8. V. G. Drinfeld, Sov. Math. Dokl. 32, 254 (1985).
9. M. Jimbo, Lett. Math. Phys. 10, 63 (1985).
10. A. Klimyk and K. Schmüdgen, Quantum Groups and Their Representations (Springer, Berlin, 1997).
11. N. Z. Iorgov and A. U. Klimyk, Methods Funct. Anal. Topol. 6, No. 3, 56 (2000).
12. N. Z. Iorgov and A. U. Klimyk, Czech. J. Phys. 50, 85 (2000).
13. B. Kostant, Am. J. Math. 83, 321 (1963).
14. G. Gasper and M. Rahman, Basic Hypergeometric Functions (Cambridge University Press, Cambridge, 1990).
15. V. A. Groza, Algebras, Groups and Geometries 26, 165 (1995).
16. I. M. Burban and A. U. Klimyk, J. Phys. A 26, 2139 (1993).