Charles F. Dunkl Explained

Charles F. Dunkl (born 1941 in Vienna) 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.. 1966. 125. 2. 250 - 263. 0203371. 10.1090/s0002-9947-1966-0203371-9. free. Dunkl. Charles F..
• with Donald E. Ramirez: Book: Topics in harmonic analysis. 1971. Appleton-Century-Crofts. 039027819X.
• with Donald E. Ramirez: Helson sets in compact and locally compact groups. Michigan Math. J.. 1972. 19. 1. 65–69. 10.1307/mmj/1029000799. Dunkl. Charles F.. Ramirez. Donald E..
• Structure hypergroups for measure algebras. Pacific J. Math.. 1973. 47. 2. 413–425. 0336225. 10.2140/pjm.1973.47.413. free. Dunkl. Charles.
• with Donald E. Ramirez: Book: Representations of commutative semitopological semigroups. 1975. Springer-Verlag. 039027819X. ^[1]
• Orthogonal polynomials on the sphere with octahedral symmetry. Trans. Amer. Math. Soc.. 1984. 282. 2. 555–575. 732106. 10.1090/s0002-9947-1984-0732106-7. free. Dunkl. Charles F..
• Orthogonal groups on the hexagon. SIAM J. Appl. Math.. 1987. 42. 2. 343–351. 10.1137/0147022.
  • Integral kernels with reflection group invariance. Can. J. Math.. 1991. 43. 6. 1213–1227. 10.4153/CJM-1991-069-8. Dunkl. Charles F.. free.
• Hankel transforms associated to finite reflection groups. Contemp. Math.. Contemporary Mathematics. 1992. 138. 123–138. 1199124. 10.1090/conm/138/1199124. Dunkl. Charles F.. 9780821851593.
• with M. F. E. de Jeu; E. M. Opdam: Singular polynomials for finite reflection groups. Trans. Amer. Math. Soc.. 1994. 346. 1. 237–256. 1273532. 10.1090/s0002-9947-1994-1273532-6. free. Dunkl. C. F.. De Jeu. M. F. E.. Opdam. E. M..
• Intertwining operators associated to the group S₃. Trans. Amer. Math. Soc.. 1995. 347. 9. 3347–3374. 1316848. 10.1090/s0002-9947-1995-1316848-8. free.
• with Yuan Xu: Book: Orthogonal polynomials of several variables. registration. 2001. Cambridge University Press. 0521800439 .
• with E. M. Opdam: Dunkl operators for complex reflection groups. Proc. London Math. Soc.. 2003. 86. 70–108. 10.1112/s0024611502013825. math/0108185. Dunkl. C. F.. Opdam. E. M.. 33413119.
• Polynomials associated with dihedral groups. SIGMA. 2007. 3. article 052. 19 pages. 10.3842/SIGMA.2007.052. math/0702107. 2007SIGMA...3..052D. Dunkl. Charles F.. 8493058.

References

• Charles F. Dunkl

Notes and References

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