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Volumn 3, Issue 2, 1998, Pages 181-207

BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials

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EID: 0032390708     PISSN: 10834362     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01236432     Document Type: Article
Times cited : (67)

References (28)
  • 1
    • 0000094781 scopus 로고
    • Double affine Hecke algebra and Macdonald's conjectures
    • I. Cherednik, Double affine Hecke algebra and Macdonald's conjectures, Annals of Math. 141 (1995), 191-216.
    • (1995) Annals of Math. , vol.141 , pp. 191-216
    • Cherednik, I.1
  • 2
    • 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), no. 1, 119-145.
    • (1995) Invent. Math. , vol.122 , Issue.1 , pp. 119-145
    • Cherednik, I.1
  • 3
    • 0001355038 scopus 로고
    • Commuting difference operators with polynomial Eigenfunctions
    • J. F. van Diejen, Commuting difference operators with polynomial Eigenfunctions, Compositio Math. 95 (1995), 183-233.
    • (1995) Compositio Math. , vol.95 , pp. 183-233
    • Van Diejen, J.F.1
  • 4
    • 0041112892 scopus 로고    scopus 로고
    • Self-dual Koornwinder-Macdonald polynomials
    • _, Self-dual Koornwinder-Macdonald polynomials, Invent. Math. 126 (1996), no. 2, 319-341.
    • (1996) Invent. Math. , vol.126 , Issue.2 , pp. 319-341
  • 6
    • 0000515270 scopus 로고
    • Askey-Wilson polynomials for root system of type BC
    • Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications, Amer. Math. Soc.
    • T. Koornwinder, Askey-Wilson polynomials for root system of type BC, Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications, Contemp. Math., vol. 138, Amer. Math. Soc., 1992.
    • (1992) Contemp. Math. , vol.138
    • Koornwinder, T.1
  • 8
    • 0031444933 scopus 로고    scopus 로고
    • Symmetric and nonsymmetric quantum Capelli polynomials
    • F. Knop, Symmetric and nonsymmetric quantum Capelli polynomials, Comment. Math. Helv. 72 (1997), no. 1, 84-100.
    • (1997) Comment. Math. Helv. , vol.72 , Issue.1 , pp. 84-100
    • Knop, F.1
  • 9
    • 0000130099 scopus 로고    scopus 로고
    • Difference equations and symmetric polynomials defined by their zeros
    • F. Knop and S. Sahi, Difference equations and symmetric polynomials defined by their zeros, Intern. Math. Res. Notices (1996), no. 10, 473-486.
    • (1996) Intern. Math. Res. Notices , Issue.10 , pp. 473-486
    • Knop, F.1    Sahi, S.2
  • 11
    • 0010716039 scopus 로고
    • Affine Hecke algebras and orthogonal polynomials
    • _, Affine Hecke algebras and orthogonal polynomials, Séminaire Bourbaki 47 (1995), no. 797, 1-18.
    • (1995) Séminaire Bourbaki , vol.47 , Issue.797 , pp. 1-18
  • 12
    • 0042213985 scopus 로고
    • Capelli identities for classical groups
    • University of Wales, Swansea, November
    • A. Molev and M. Nazarov, Capelli identities for classical groups, Mathematical Research Report Series 95-21, University of Wales, Swansea, (November 1995).
    • (1995) Mathematical Research Report Series 95-21
    • Molev, A.1    Nazarov, M.2
  • 13
    • 0000096598 scopus 로고    scopus 로고
    • Yangians and Capelli identities
    • A. A. Kirillov Representation Theory Seminar, (formerly Adv. Soviet Math.) (G. Olshanski, ed.), Amer. Math. Soc., Providence, RI
    • M. Nazarov, Yangians and Capelli identities, A. A. Kirillov Representation Theory Seminar, Adv. Math. Sciences (formerly Adv. Soviet Math.) (G. Olshanski, ed.), Amer. Math. Soc., Providence, RI, 1997, pp. 139-164.
    • (1997) Adv. Math. Sciences , pp. 139-164
    • Nazarov, M.1
  • 15
    • 0002816486 scopus 로고
    • Macdonald-Koornwinder polynomials and affine Hecke rings
    • M. Noumi, Macdonald-Koornwinder polynomials and affine Hecke rings, (in Japanese), Sūrikaisekikenkyūsho Kōkyūroku (1995), no. 919, 44-55.
    • (1995) Sūrikaisekikenkyūsho Kōkyūroku , Issue.919 , pp. 44-55
    • Noumi, M.1
  • 16
    • 0030588041 scopus 로고    scopus 로고
    • Macdonald's symmetric polynomials as zonal spherical functions on some quantum symmetric spaces
    • M. Noumi, Macdonald's symmetric polynomials as zonal spherical functions on some quantum symmetric spaces, Advances in Math. 123 (1996), 16-77.
    • (1996) Advances in Math. , vol.123 , pp. 16-77
    • Noumi, M.1
  • 17
    • 0002979621 scopus 로고    scopus 로고
    • Quantum immanants and higher Capelli identities
    • A. Okounkov, Quantum immanants and higher Capelli identities, Transformation groups 1 (1996), no. 1, 99-126.
    • (1996) Transformation Groups , vol.1 , Issue.1 , pp. 99-126
    • Okounkov, A.1
  • 18
    • 1842562955 scopus 로고    scopus 로고
    • Young basis, Wick formula, and higher Capelli identities
    • _, Young basis, Wick formula, and higher Capelli identities, Internat. Math. Res. Not. 17 (1996), 817-839.
    • (1996) Internat. Math. Res. Not. , vol.17 , pp. 817-839
  • 19
    • 1842777645 scopus 로고    scopus 로고
    • (Shifted) Macdonald polynomials: q-Integral representation and combinatorial formula
    • q-alg/9605013
    • _, (Shifted) Macdonald polynomials: q-Integral representation and combinatorial formula, to appear in Compositio Math., q-alg/9605013.
    • Compositio Math.
  • 20
    • 0031287701 scopus 로고    scopus 로고
    • Binomial formula for Macdonald polynomials and applications
    • q-alg/9608021
    • _, Binomial formula for Macdonald polynomials and applications, q-alg/9608021, Math. Res. Lett 4 (1997), 533-553.
    • (1997) Math. Res. Lett , vol.4 , pp. 533-553
  • 21
    • 0040042046 scopus 로고    scopus 로고
    • A characterization of interpolation Macdonald polynomials
    • _, A characterization of interpolation Macdonald polynomials, Adv. Appl. Math., 20 (1998), 395-428.
    • (1998) Adv. Appl. Math. , vol.20 , pp. 395-428
  • 23
    • 0000338772 scopus 로고    scopus 로고
    • Shifted Schur functions
    • A. UKyHbKOB, F. OjibinancKHH, Cdeunymme yHKV,uu IIIypa, AjireÖpa n AnajiHS 9 (1997), no. 2, 73-146. English translation: to appear
    • A. UKyHbKOB, F. OjibinancKHH, Cdeunymme yHKV,uu IIIypa, AjireÖpa n AnajiHS 9 (1997), no. 2, 73-146. English translation: A. Okounkov, G. Olshanski, Shifted Schur functions, St. Petersburg Math. J. 9 (1998), no. 2, to appear.
    • (1998) St. Petersburg Math. J. , vol.9 , Issue.2
    • Okounkov, A.1    Olshanski, G.2
  • 24
    • 0037975038 scopus 로고    scopus 로고
    • Shifted Schur functions II
    • A. A. Kirillov Representation Theory Seminar, (formerly Adv. Soviet Math.) (G. Olshanski, ed.), Amer. Math. Soc., Providence, RI
    • _, Shifted Schur functions II, in A. A. Kirillov Representation Theory Seminar, Adv. Math. Sciences (formerly Adv. Soviet Math.) (G. Olshanski, ed.), Amer. Math. Soc., Providence, RI, 1997, pp. 245-271.
    • (1997) Adv. Math. Sciences , pp. 245-271
  • 25
    • 0031286860 scopus 로고    scopus 로고
    • Shifted Jack polynomials, binomial formula, and applications
    • _, Shifted Jack polynomials, binomial formula, and applications, Math. Res. Letters 4 (1997), 69-78.
    • (1997) Math. Res. Letters , vol.4 , pp. 69-78
  • 27
    • 0000432240 scopus 로고
    • The Spectrum of certain invariant differential operators associated to a hermitian symmetric space
    • (J.-L. Brylinski, R. Brylinski, V. Guillemin, V. Kac, eds.), Birkhäuser, Boston, Basel
    • S. Sahi, The Spectrum of certain invariant differential operators associated to a hermitian symmetric space, Lie Theory and Geometry: in honor of Bertram Kostant, Progress in Mathematics (J.-L. Brylinski, R. Brylinski, V. Guillemin, V. Kac, eds.), vol. 123, Birkhäuser, Boston, Basel, 1994.
    • (1994) Lie Theory and Geometry: In Honor of Bertram Kostant, Progress in Mathematics , vol.123
    • Sahi, S.1
  • 28
    • 1842535560 scopus 로고    scopus 로고
    • Interpolation, integrality, and a generalization of Macdonald's polynomials
    • _, Interpolation, integrality, and a generalization of Macdonald's polynomials, Internat. Math. Res. Notices (1996), no. 10, 457-471.
    • (1996) Internat. Math. Res. Notices , Issue.10 , pp. 457-471


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