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Charles F Dunkl

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Name
  
Charles Dunkl


Books
  
Orthogonal Polynomials of Several Variables

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. MR 0203371. doi:10.1090/s0002-9947-1966-0203371-9. 
  • 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. MR 0336225. doi:10.2140/pjm.1973.47.413. 
  • with Donald E. Ramirez: "Representations of commutative semitopological semigroups". Springer-Verlag. 1975. ISBN 039027819X. 
  • "Orthogonal polynomials on the sphere with octahedral symmetry". Trans. Amer. Math. Soc. 282 (2): 555–575. 1984. MR 732106. doi:10.1090/s0002-9947-1984-0732106-7. 
  • "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): 167–183, 1989, ISSN 0002-9947, MR 951883, doi:10.2307/2001022 
  • "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. MR 1199124. doi:10.1090/conm/138/1199124. 
  • with M. F. E. de Jeu; E. M. Opdam: "Singular polynomials for finite reflection groups". Trans. Amer. Math. Soc. 346 (1): 237–256. 1994. MR 1273532. doi:10.1090/s0002-9947-1994-1273532-6. 
  • "Intertwining operators associated to the group S3". Trans. Amer. Math. Soc. 347 (9): 3347–3374. 1995. MR 1316848. doi:10.1090/s0002-9947-1995-1316848-8. 
  • 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

    Charles F. Dunkl Wikipedia