Charles F. Dunkl

Charles F. Dunkl (born 1941) is a mathematician at the University of Virginia who introduced Dunkl operators.

Selected works

• "Operators and harmonic analysis on the sphere". Trans. Amer. Math. Soc. 125 (2): 250–263. 1966. doi:10.1090/s0002-9947-1966-0203371-9. MR 0203371.
• with Donald E. Ramirez: Topics in harmonic analysis. Appleton-Century-Crofts. 1971. ISBN 039027819X.
• with Donald E. Ramirez: "Helson sets in compact and locally compact groups" (PDF). Michigan Math. J. 19 (1): 65–69. 1972. doi:10.1307/mmj/1029000799.
• "Structure hypergroups for measure algebras". Pacific J. Math. 47 (2): 413–425. 1973. doi:10.2140/pjm.1973.47.413. MR 0336225.
• with Donald E. Ramirez: "Representations of commutative semitopological semigroups". Springer-Verlag. 1975. ISBN 039027819X.^[1]
• "Orthogonal polynomials on the sphere with octahedral symmetry". Trans. Amer. Math. Soc. 282 (2): 555–575. 1984. doi:10.1090/s0002-9947-1984-0732106-7. MR 732106.
• "Orthogonal groups on the hexagon". SIAM J. Appl. Math. 42 (2): 343–351. 1987. doi:10.1137/0147022.
• "Differential-difference operators associated to reflection groups", Trans. Amer. Math. Soc. 311 (1), 1989: 167–183, doi:10.2307/2001022, ISSN 0002-9947, MR 951883
• "Integral kernels with reflection group invariance". Canad. J. Math. 43 (6): 1213–1227. 1991. doi:10.4153/CJM-1991-069-8.
• "Hankel transforms associated to finite reflection groups". Contemp. Math. 138: 123–138. 1992. doi:10.1090/conm/138/1199124. MR 1199124.
• with M. F. E. de Jeu; E. M. Opdam: "Singular polynomials for finite reflection groups". Trans. Amer. Math. Soc. 346 (1): 237–256. 1994. doi:10.1090/s0002-9947-1994-1273532-6. MR 1273532.
• "Intertwining operators associated to the group S₃". Trans. Amer. Math. Soc. 347 (9): 3347–3374. 1995. doi:10.1090/s0002-9947-1995-1316848-8. MR 1316848.
• with Yuan Xu: Orthogonal polynomials of several variables. Cambridge University Press. 2001. ISBN 0521800439.
• with E. M. Opdam: "Dunkl operators for complex reflection groups" (PDF). Proc. London Math. Soc. 86: 70–108. 2003. doi:10.1112/s0024611502013825.
• "Polynomials associated with dihedral groups". SIGMA 3 (article 052): 19 pages. 2007. doi:10.3842/SIGMA.2007.052.

References

1. Hofmann, Karl H. (1977). "Review: Representations of commutative semitopological semigroups, by Charles F. Dunkl and Donald E. Ramirez". Bull. Amer. Math. Soc. 83 (2): 236–243. doi:10.1090/s0002-9904-1977-14279-1.

• Charles F. Dunkl
• Charles F. Dunkl at the Mathematics Genealogy Project