메뉴 건너뛰기




Volumn 245, Issue , 1997, Pages 223-246

Dunkl operators

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0038080844     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (48)

References (39)
  • 1
    • 85045587344 scopus 로고    scopus 로고
    • The most continuous part of the Plancherel decomposition for a reductive symmetric space
    • to appear
    • E.P. van den Ban and H. Schlichtkrull, The most continuous part of the Plancherel decomposition for a reductive symmetric space, Ann. Math. (to appear).
    • Ann. Math.
    • Van Den Ban, E.P.1    Schlichtkrull, H.2
  • 2
    • 51249172576 scopus 로고
    • Variation on a theme of Macdonald
    • R. Brussee, G.J. Heckman and E.M. Opdam, Variation on a theme of Macdonald, Math Z. 208 (1991), 1-10.
    • (1991) Math Z. , vol.208 , pp. 1-10
    • Brussee, R.1    Heckman, G.J.2    Opdam, E.M.3
  • 4
    • 0001634909 scopus 로고
    • A unification of Knizhnik-Zamolodchikov equations and Dunkl operators via affine Hecke algebras
    • I. Cherednik, A unification of Knizhnik-Zamolodchikov equations and Dunkl operators via affine Hecke algebras, Invent. Math. 106 (1991), 411-432.
    • (1991) Invent. Math. , vol.106 , pp. 411-432
    • Cherednik, I.1
  • 5
    • 0001935486 scopus 로고
    • Integration of quantum many body problems by affine Knizhnik-Zamolodchikov equations
    • I. Cherednik, Integration of quantum many body problems by affine Knizhnik-Zamolodchikov equations, Adv. in Math. 106 (1994), 65-95.
    • (1994) Adv. in Math. , vol.106 , pp. 65-95
    • Cherednik, I.1
  • 6
    • 0000094781 scopus 로고
    • Double affine Hecke algebras and Macdonald's conjectures
    • I. Cherednik, Double affine Hecke algebras and Macdonald's conjectures, Ann. Math. 141 (1995), 191-216.
    • (1995) Ann. Math. , vol.141 , pp. 191-216
    • Cherednik, I.1
  • 7
    • 18444389274 scopus 로고
    • Macdonald's evaluation conjectures and difference Fourier transform
    • I. Cherednik, Macdonald's evaluation conjectures and difference Fourier transform, Invent. Math. 122 (1995), 119-145.
    • (1995) Invent. Math. , vol.122 , pp. 119-145
    • Cherednik, I.1
  • 8
    • 0041644556 scopus 로고
    • Équations différentielles à points singuliers réguliers
    • P. Deligne, Équations différentielles à points singuliers réguliers, Lect. Notes Math. 163, 1970.
    • (1970) Lect. Notes Math. , vol.163
    • Deligne, P.1
  • 9
    • 34250122727 scopus 로고
    • Degenerate affine Hecke algebras and Yangians
    • V.G. Drinfeld, Degenerate affine Hecke algebras and Yangians, Funct. Anal. Appl. 20 (1986), 58-60.
    • (1986) Funct. Anal. Appl. , vol.20 , pp. 58-60
    • Drinfeld, V.G.1
  • 10
    • 84963950040 scopus 로고
    • Differential-difference operators associated to reflection groups
    • C.F. Dunkl, Differential-difference operators associated to reflection groups, Trans. Amer. Math. Soc. 311 (1989), 167-183.
    • (1989) Trans. Amer. Math. Soc. , vol.311 , pp. 167-183
    • Dunkl, C.F.1
  • 11
    • 0001174037 scopus 로고
    • Hankl transforms associated to finite reflection groups
    • C.F. Dunkl, Hankl transforms associated to finite reflection groups, Contemp. Math. 138 (1992), 123-138.
    • (1992) Contemp. Math. , vol.138 , pp. 123-138
    • Dunkl, C.F.1
  • 13
    • 0000335908 scopus 로고
    • Root systems and hypergeometric functions II
    • G.J. Heckman, Root systems and hypergeometric functions II, Comp. Math. 64 (1987), 353-373.
    • (1987) Comp. Math. , vol.64 , pp. 353-373
    • Heckman, G.J.1
  • 14
    • 0001410380 scopus 로고
    • An elementary approach to the hypergeometric shift operators of Opdam
    • G.J. Heckman, An elementary approach to the hypergeometric shift operators of Opdam, Invent. Math. 103 (1991), 341-350.
    • (1991) Invent. Math. , vol.103 , pp. 341-350
    • Heckman, G.J.1
  • 15
    • 0000335910 scopus 로고
    • Root systems and hypergeometric functions I
    • G.J. Heckman and E.M. Opdam, Root systems and hypergeometric functions I, Comp. Math. 64 (1987), 329-352.
    • (1987) Comp. Math. , vol.64 , pp. 329-352
    • Heckman, G.J.1    Opdam, E.M.2
  • 16
    • 0031526679 scopus 로고    scopus 로고
    • Yang's system of particles and Hecke algebras
    • G.J. Heckman and E.M. Opdam, Yang's system of particles and Hecke algebras, Ann. Math. 145 (1997), 139-173.
    • (1997) Ann. Math. , vol.145 , pp. 139-173
    • Heckman, G.J.1    Opdam, E.M.2
  • 18
    • 0003239017 scopus 로고
    • Harmonic Analysis and Special Functions on Symmetric Spaces
    • Acad. Press
    • G.J. Heckman and H. Schlichtkrull, Harmonic Analysis and Special Functions on Symmetric Spaces, Persp. in Math. 16, Acad. Press, 1994.
    • (1994) Persp. in Math. , vol.16
    • Heckman, G.J.1    Schlichtkrull, H.2
  • 20
    • 0000945341 scopus 로고
    • The Dunkl transform
    • M.F.E. de Jeu, The Dunkl transform, Invent. Math. 113 (1993), 147-162.
    • (1993) Invent. Math. , vol.113 , pp. 147-162
    • De Jeu, M.F.E.1
  • 21
    • 0000942261 scopus 로고
    • Proof of the Deligne-Langlands conjecture for Hecke algebras
    • D. Kazhdan and G. Lusztig, Proof of the Deligne-Langlands conjecture for Hecke algebras, Invent. Math. 87 (1987), 153-215.
    • (1987) Invent. Math. , vol.87 , pp. 153-215
    • Kazhdan, D.1    Lusztig, G.2
  • 22
    • 33748550557 scopus 로고
    • Arrangements, KZ systems and Lie algebra homology
    • E. Looijenga, Arrangements, KZ systems and Lie algebra homology, Comm. Math. Inst. Utrecht Univ. 18 (1994), 105-124.
    • (1994) Comm. Math. Inst. Utrecht Univ. , vol.18 , pp. 105-124
    • Looijenga, E.1
  • 23
    • 84968466717 scopus 로고
    • Affine Hecke algebras and their graded version
    • G. Lusztig, Affine Hecke algebras and their graded version, J. Amer. Math. Soc. 2 (1989), 599-695.
    • (1989) J. Amer. Math. Soc. , vol.2 , pp. 599-695
    • Lusztig, G.1
  • 24
    • 0001110442 scopus 로고
    • Some conjectures for root systems
    • I.G. Macdonald, Some conjectures for root systems, SIAM J. Math. Anal. 13 (1982), 988-1007.
    • (1982) SIAM J. Math. Anal. , vol.13 , pp. 988-1007
    • Macdonald, I.G.1
  • 26
    • 0010716039 scopus 로고
    • Affine Hecke algebras and orthogonal polynomials
    • I.G. Macdonald, Affine Hecke algebras and orthogonal polynomials, Sém. Bourbaki no 797, 1995.
    • (1995) Sém. Bourbaki No 797
    • Macdonald, I.G.1
  • 29
    • 0010158240 scopus 로고
    • Integrable connections related to zonal spherical functions
    • A. Matsuo, Integrable connections related to zonal spherical functions, Invent. Math. 110 (1992), 95-121.
    • (1992) Invent. Math. , vol.110 , pp. 95-121
    • Matsuo, A.1
  • 30
    • 0013479339 scopus 로고
    • Décomposition Spectrale et Séries d'Eisentein
    • Birkhäuser
    • C. Moeglin and J.L. Waldspurger, Décomposition Spectrale et Séries d'Eisentein, Prog. in Math. 113, Birkhäuser, 1994.
    • (1994) Prog. in Math. , vol.113
    • Moeglin, C.1    Waldspurger, J.L.2
  • 31
    • 34347230069 scopus 로고
    • Three integrable Hamiltonian systems connected with isospectral deformation
    • J. Moser, Three integrable Hamiltonian systems connected with isospectral deformation, Adv. in Math. 16 (1975), 197-220.
    • (1975) Adv. in Math. , vol.16 , pp. 197-220
    • Moser, J.1
  • 32
    • 0002587995 scopus 로고
    • Completely integrable Hamiltonian systems connected with semisimple Lie algebras
    • M.A. Olshanetsky and A.M. Perelomov, Completely integrable Hamiltonian systems connected with semisimple Lie algebras, Invent. Math. 37 (1976), 93-108.
    • (1976) Invent. Math. , vol.37 , pp. 93-108
    • Olshanetsky, M.A.1    Perelomov, A.M.2
  • 33
    • 0003166185 scopus 로고
    • Root systems and hypergeometric functions III
    • E.M. Opdam, Root systems and hypergeometric functions III, Comp. Math. 67 (1988), 21-49.
    • (1988) Comp. Math. , vol.67 , pp. 21-49
    • Opdam, E.M.1
  • 34
    • 0003166183 scopus 로고
    • Root systems and hypergeometric functions IV
    • E.M. Opdam, Root systems and hypergeometric functions IV, Comp. Math. 67 (1988), 191-209.
    • (1988) Comp. Math. , vol.67 , pp. 191-209
    • Opdam, E.M.1
  • 35
    • 33646863388 scopus 로고
    • Some applications of hypergeometric shift operators
    • E.M. Opdam, Some applications of hypergeometric shift operators, Invent. Math. 98 (1989), 1-18.
    • (1989) Invent. Math. , vol.98 , pp. 1-18
    • Opdam, E.M.1
  • 36
    • 51249169026 scopus 로고
    • An analogue of the Gauss summation formula for hypergeometric functions related to root systems
    • E.M. Opdam, An analogue of the Gauss summation formula for hypergeometric functions related to root systems, Math. Z. 212 (1993), 313-336.
    • (1993) Math. Z. , vol.212 , pp. 313-336
    • Opdam, E.M.1
  • 37
    • 0002949136 scopus 로고
    • Harmonic analysis for certain representations of graded Hecke algebras
    • E.M. Opdam, Harmonic analysis for certain representations of graded Hecke algebras, Acta Math. 175 (1995), 75-121.
    • (1995) Acta Math. , vol.175 , pp. 75-121
    • Opdam, E.M.1
  • 39
    • 3543099119 scopus 로고
    • Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
    • S.N.M. Ruijsenaars, Complete integrability of relativistic Calogero-Moser systems and elliptic function identities, Comm. Math. Phys. 110 (1987), 191-213.
    • (1987) Comm. Math. Phys. , vol.110 , pp. 191-213
    • Ruijsenaars, S.N.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.