From Wikipedia, the free encyclopedia
American mathematician
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
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