@article{CM_1993__85_3_333_0,
author = {Opdam, E. M.},
title = {Dunkl operators, {Bessel} functions and the discriminant of a finite {Coxeter} group},
journal = {Compositio Mathematica},
pages = {333--373},
year = {1993},
publisher = {Kluwer Academic Publishers},
volume = {85},
number = {3},
mrnumber = {1214452},
zbl = {0778.33009},
language = {en},
url = {https://www.numdam.org/item/CM_1993__85_3_333_0/}
}
TY - JOUR AU - Opdam, E. M. TI - Dunkl operators, Bessel functions and the discriminant of a finite Coxeter group JO - Compositio Mathematica PY - 1993 SP - 333 EP - 373 VL - 85 IS - 3 PB - Kluwer Academic Publishers UR - https://www.numdam.org/item/CM_1993__85_3_333_0/ LA - en ID - CM_1993__85_3_333_0 ER -
Opdam, E. M. Dunkl operators, Bessel functions and the discriminant of a finite Coxeter group. Compositio Mathematica, Tome 85 (1993) no. 3, pp. 333-373. https://www.numdam.org/item/CM_1993__85_3_333_0/
[1] : An application of the Morse theory to the topology of Lie groups. Bull Soc. Math. France 84 (1958), 251-282. | Zbl | MR | Numdam
[2] : Algèbre, Chapitre 9. Hermann, Paris, 1959. | Zbl
[3] : Groupes et Algèbres de Lie, Chapitres 4, 5 et 6. Hermann, Paris, 1968. | MR
[4] : Die fundamentalgruppe des Raumes der regulären orbits einer komplexen spiegelungsgruppe. Inv. Math. 12 (1971), 57-61. | Zbl | MR
[5] , and : Hecke algebras and the characters of parabolic type of finite groups with BN-pairs. Publ. Math. IHES 40 (1971), 81-116. | Zbl | MR | Numdam
[6] : Equations Differentielles à Points Singulier Regulier. LNM 163, Springer-Verlag (1970). | Zbl | MR
[7] : Les immeubles des groupes de tresses généraliser. Inv. Math. 17 (1972), 273-302. | Zbl | MR
[8] : Differential-difference operators associated to reflection groups. Trans. Amer. Math. Soc. 311(1) (1989). | Zbl | MR
[9] : Harmonic polynomials and peak sets of reflection groups. Geom. Dedicata 32 (1989), 157-171. | Zbl | MR
[10] : Operators Commuting with Coxeter Group Actions on Polynomials, in D. Stanton (ed.) Invariant Theory and Tableaux. Springer-Verlag (1990). | Zbl | MR
[11] : Integral kernels with reflection group invariance. Canad. J. Math. (to appear). | Zbl | MR
[12] : Hankel transforms associated to finite reflection groups (to appear). | MR
[13] and : On the semisimplicity of Hecke algebras. J. Math Soc. Japan 41(1) (1989). | Zbl | MR
[14] : Spherical functions on a semisimple Lie group I. Amer. J. Math. 80 (1958), 241-310. | Zbl | MR
[15] : Spherical functions on a semisimple Lie group II. Amer. J. Math. 80 (1958), 553-613. | Zbl | MR
[16] : Root systems and hypergeometric functions II. Compositio Math. 64 (1987), 353-374. | Zbl | MR | Numdam
[17] : A remark on the Dunkl differential-difference operators. Proc. of the Bowdoin conference on harmonic analysis on reductive groups, 1989. | Zbl
[18] : An elementary approach to the hypergeometric shift operators of Opdam. Inv. Math. 103 (1991), 341-350. | Zbl | MR
[19] and : Root systems and hypergeometric functions I. Compositio Math. 64 (1987), 329-352. | Zbl | MR | Numdam
[20] : Groups and Geometric Analysis. Academic Press (1984). | Zbl | MR
[21] : Nilpotent connections and the monodromy theorem; application of a result of Turrittin. Publ. Math. I.H.E.S. 39 (1970), 355-432. | Zbl | MR | Numdam | EuDML
[22] : The homotopy type of complex hyperplane complements. Thesis, Univ. of Nijmegen, 1983.
[23] : The Poincaré series of a Coxeter group. Math. Ann. 199 (1972), 161-174. | Zbl | MR | EuDML
[24] : Some conjectures for root systems. SIAM J. Math. An. 13 (1982) 988-1007. | Zbl | MR
[25] : Knizhnik-Zamolodchikov type equations and zonal spherical functions. Res. Inst. Math. Sci. 750, Kyoto University (1991).
[26] : Root systems and hypergeometric functions III. Compositio Math. 67 (1988), 21-49. | Zbl | MR | Numdam | EuDML
[27] : Root systems and hypergeometric functions IV. Compositio Math. 67 (1988), 191-209. | Zbl | MR | Numdam | EuDML
[28] : Some applications of hypergeometric shift operators. Inv. Math. 98 (1989), 1-18. | Zbl | MR | EuDML
[29] : The orders of finite Chevalley groups. J. Algebra 3 (1966), 376-393. | Zbl | MR
[30] : Regular elements of finite reflection groups. Inv. Math. 25 (1974), 159-198. | Zbl | MR | EuDML
[31] : Relative invariants of finite groups generated by pseudoreflections. J. Algebra 49 (1977), 134-148. | Zbl | MR
[32] : Lecture on Chevalley Groups. Lecture notes, Yale Univ. (1967). | MR | Zbl
[33] : Lie Groups, Lie Algebras and their Representations, G.T.M., Springer-Verlag (1974). | Zbl | MR
[34] : Gewöhnliche Differentialgleichungen. Heidelberger Taschenbücher, Springer-Verlag (1972). | Zbl | MR
[35] and : The microlocal structure of weighted homogeneous polynomials associated with Coxeter systems I. Tokyo J. Math. 2 (1979). | Zbl | MR






