Charles F. Dunkl

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

Selected works

• Dunkl, Charles F. (1966). "Operators and harmonic analysis on the sphere". Trans. Amer. Math. Soc. 125 (2): 250–263. 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: Dunkl, Charles F.; Ramirez, Donald E. (1972). "Helson sets in compact and locally compact groups" (PDF). Michigan Math. J. 19 (1): 65–69. doi:10.1307/mmj/1029000799.
• Dunkl, Charles (1973). "Structure hypergroups for measure algebras". Pacific J. Math. 47 (2): 413–425. doi: 10.2140/pjm.1973.47.413 . MR   0336225.
• with Donald E. Ramirez: Representations of commutative semitopological semigroups. Springer-Verlag. 1975. ISBN   039027819X. ^[1]
• Dunkl, Charles F. (1984). "Orthogonal polynomials on the sphere with octahedral symmetry". Trans. Amer. Math. Soc. 282 (2): 555–575. doi: 10.1090/s0002-9947-1984-0732106-7 . MR   0732106.
• "Orthogonal groups on the hexagon". SIAM J. Appl. Math. 42 (2): 343–351. 1987. doi:10.1137/0147022.
• Dunkl, Charles F. (1989), "Differential-difference operators associated to reflection groups", Trans. Amer. Math. Soc., 311 (1): 167–183, doi: 10.2307/2001022 , ISSN   0002-9947, JSTOR   2001022, MR   0951883
• Dunkl, Charles F. (1991). "Integral kernels with reflection group invariance". Can. J. Math. 43 (6): 1213–1227. doi: 10.4153/CJM-1991-069-8 .
• Dunkl, Charles F. (1992). "Hankel transforms associated to finite reflection groups". Contemp. Math. Contemporary Mathematics. 138: 123–138. doi:10.1090/conm/138/1199124. ISBN   9780821851593. MR   1199124.
• with M. F. E. de Jeu; E. M. Opdam: Dunkl, C. F.; De Jeu, M. F. E.; Opdam, E. M. (1994). "Singular polynomials for finite reflection groups". Trans. Amer. Math. Soc. 346 (1): 237–256. 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, C. F.; Opdam, E. M. (2003). "Dunkl operators for complex reflection groups". Proc. London Math. Soc. 86: 70–108. arXiv: math/0108185 . doi:10.1112/s0024611502013825. S2CID   33413119.
• Dunkl, Charles F. (2007). "Polynomials associated with dihedral groups". SIGMA. 3 (article 052): 19 pages. arXiv: math/0702107 . Bibcode:2007SIGMA...3..052D. doi:10.3842/SIGMA.2007.052. S2CID   8493058.

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