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Volumn 129, Issue 3, 2001, Pages 325-340

Symmetry Classification for Jackson Integrals Associated with Irreducible Reduced Root Systems

Author keywords

Aomoto's sums; Gustafson's sums; Jackson integrals; Van Diejen's BCn type sum

Indexed keywords


EID: 0042787744     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1012518910847     Document Type: Article
Times cited : (17)

References (28)
  • 1
    • 0002152603 scopus 로고    scopus 로고
    • On elliptic product formulas for Jackson integrals associated with reduced root systems
    • Aomoto, K.: On elliptic product formulas for Jackson integrals associated with reduced root systems, J. Algebraic Combin. 8 (1998), 115-126.
    • (1998) J. Algebraic Combin. , vol.8 , pp. 115-126
    • Aomoto, K.1
  • 3
    • 0001568601 scopus 로고
    • Some basic hypergeometric extensions of integrals of Selberg and Andrews
    • Askey, R.: Some basic hypergeometric extensions of integrals of Selberg and Andrews, SIAM J. Math. Anal. 11 (1980), 938-951.
    • (1980) SIAM J. Math. Anal. , vol.11 , pp. 938-951
    • Askey, R.1
  • 5
    • 0000094781 scopus 로고
    • Double affine Hecke algebras and Macdonald's conjectures
    • Cherednik, I.: Double affine Hecke algebras and Macdonald's conjectures, Ann. of Math. (2) 141 (1995), 191-216
    • (1995) Ann. of Math. (2) , vol.141 , pp. 191-216
    • Cherednik, I.1
  • 6
    • 0000023423 scopus 로고    scopus 로고
    • Intertwining operators of double affine Hecke algebra
    • Cherednik, I.: Intertwining operators of double affine Hecke algebra, Selecta Math. (N.S.) 3 (1997), 459-495.
    • (1997) Selecta Math. (N.S.) , vol.3 , pp. 459-495
    • Cherednik, I.1
  • 7
    • 21944450779 scopus 로고    scopus 로고
    • On certain multiple Bailey, Rogers and Dougall type summation Formulas
    • van Diejen, J. F.: On certain multiple Bailey, Rogers and Dougall type summation Formulas, Publ. RIMS, Kyoto Univ. 33 (1997), 483-508.
    • (1997) Publ. RIMS, Kyoto Univ. , vol.33 , pp. 483-508
    • Van Diejen, J.F.1
  • 8
    • 0032354711 scopus 로고    scopus 로고
    • The quantum dynamics of the compactified trigonometric Ruijsenaars-Schneider model
    • van Diejen, J. F. and Vinet, L.: The quantum dynamics of the compactified trigonometric Ruijsenaars-Schneider model, Comm. Math. Phys. 197 (1998), 33-74.
    • (1998) Comm. Math. Phys. , vol.197 , pp. 33-74
    • Van Diejen, J.F.1    Vinet, L.2
  • 9
    • 0000398689 scopus 로고
    • Multidimensional q-beta integrals
    • Evans, R.: Multidimensional q-beta integrals, SIAM J. Math. Anal. 23 (1992), 758-765.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 758-765
    • Evans, R.1
  • 14
    • 0041802906 scopus 로고
    • Some q-beta and Mellin-Barnes intrgrals on compact Lie groups and Lie algebras
    • Gustafson, R. A.: Some q-beta and Mellin-Barnes intrgrals on compact Lie groups and Lie algebras, Trans. Amer. Math. Anal. 23 (1992), 552-561.
    • (1992) Trans. Amer. Math. Anal. , vol.23 , pp. 552-561
    • Gustafson, R.A.1
  • 15
    • 3843137762 scopus 로고
    • Some q-beta integrals on SU(n) and Sp(n) that generalize the Askey-Wilson and Nasrallah-Rahman integral
    • Gustafson, R. A.: Some q-beta integrals on SU(n) and Sp(n) that generalize the Askey-Wilson and Nasrallah-Rahman integral, SIAM J. Math. Anal. 25 (1994), 441-449.
    • (1994) SIAM J. Math. Anal. , vol.25 , pp. 441-449
    • Gustafson, R.A.1
  • 17
    • 0001726277 scopus 로고
    • The Macdonald identities for affine root systems of classical type and hypergeometric series very-well-poised on semisimple Lie algebras
    • Macmillan of India, New Delhi
    • Gustafson, R. A.: The Macdonald identities for affine root systems of classical type and hypergeometric series very-well-poised on semisimple Lie algebras, In: Ramanujan International Symposium on Analysis (Pune, 1987), Macmillan of India, New Delhi, 1989, pp. 85-224.
    • (1989) Ramanujan International Symposium on Analysis (Pune, 1987) , pp. 85-224
    • Gustafson, R.A.1
  • 18
    • 0001014376 scopus 로고
    • Une q-intégrale de Selberg et Askey
    • Habsieger, L.: Une q-intégrale de Selberg et Askey, SIAM J. Math. Anal. 19 (1988), 1475-1489.
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 1475-1489
    • Habsieger, L.1
  • 19
    • 0031284337 scopus 로고    scopus 로고
    • On a theta product formula for Jackson integrals associated with root system of rank two
    • Ito, M.: On a theta product formula for Jackson integrals associated with root system of rank two, J. Math. Anal. Appl. 216 (1997), 122-163.
    • (1997) J. Math. Anal. Appl. , vol.216 , pp. 122-163
    • Ito, M.1
  • 21
    • 0042804988 scopus 로고    scopus 로고
    • Preprint
    • 4, Preprint, 2000.
    • (2000) 4
    • Ito, M.1
  • 22
    • 0042804987 scopus 로고    scopus 로고
    • Preprint
    • n, Preprint, 2000.
    • (2000) n
    • Ito, M.1
  • 23
    • 0000501120 scopus 로고
    • A proof of Askey's conjectured q-analogue of Selberg's integral and a conjecture of Morris
    • Kadell, K. A. J.: A proof of Askey's conjectured q-analogue of Selberg's integral and a conjecture of Morris, SIAM J. Math. Anal. 19 (1988), 969-986.
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 969-986
    • Kadell, K.A.J.1
  • 24
    • 0000199181 scopus 로고    scopus 로고
    • Q-Selberg integrals and Macdonald polynomials
    • Kaneko, J.: q-Selberg integrals and Macdonald polynomials, Ann. Sci. École Norm. Sup. (4) 29 (1996), 583-637.
    • (1996) Ann. Sci. École Norm. Sup. (4) , vol.29 , pp. 583-637
    • Kaneko, J.1
  • 25
    • 0000212623 scopus 로고
    • Basic hypergeometric series very well-poised in U(n)
    • Milne, S. C.: Basic hypergeometric series very well-poised in U(n), J. Math. Anal. Appl. 122 (1987), 223-256.
    • (1987) J. Math. Anal. Appl. , vol.122 , pp. 223-256
    • Milne, S.C.1
  • 26
    • 0001110442 scopus 로고
    • Some conjectures for root systems
    • Macdonald, I. G.: Some conjectures for root systems, SIAM J. Math. Anal. 13 (1982), 998-1007.
    • (1982) SIAM J. Math. Anal. , vol.13 , pp. 998-1007
    • Macdonald, I.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.