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Volumn 175, Issue 1, 1996, Pages 89-111

Spectra, eigenvectors and overlap functions for representation operators of q-deformed algebras

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EID: 0030556887     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02101625     Document Type: Article
Times cited : (8)

References (23)
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    • Drinfeld, V.G.1
  • 3
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    • A q-difference analogue of U(g) and the Yang-Baxter equations
    • Jimbo, M.: A q-difference analogue of U(g) and the Yang-Baxter equations. Lett. Math. Phys. 10, 63-69 (1985)
    • (1985) Lett. Math. Phys. , vol.10 , pp. 63-69
    • Jimbo, M.1
  • 9
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    • On a class of polynomials orthogonal over a denumerable set
    • Dickinson, D.J., Pollak, H.O., Wannier, G.H.: On a class of polynomials orthogonal over a denumerable set. Pacific J. Math. 6, 239-247 (1956)
    • (1956) Pacific J. Math. , vol.6 , pp. 239-247
    • Dickinson, D.J.1    Pollak, H.O.2    Wannier, G.H.3
  • 10
    • 84972510220 scopus 로고
    • Polynomials orthogonal over a denumerable set
    • Goldberg, J.L.: Polynomials orthogonal over a denumerable set. Pacific J. Math. 15, 1171-1186 (1965)
    • (1965) Pacific J. Math. , vol.15 , pp. 1171-1186
    • Goldberg, J.L.1
  • 11
    • 0008991018 scopus 로고
    • Orthogonal polynomials and functional analysis
    • (ed. P. Nevai). Dordrecht: Kluwer
    • Dombrowski, J.: Orthogonal polynomials and functional analysis. In: Orthogonal Polynomials: Theory and Practice (ed. P. Nevai). Dordrecht: Kluwer, 1990, pp. 147-161
    • (1990) Orthogonal Polynomials: Theory and Practice , pp. 147-161
    • Dombrowski, J.1
  • 12
    • 0001308382 scopus 로고
    • Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
    • Askey, R., Wilson, J.: Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials. Memoirs of Am. Math. Soc. 54, 1-55 (1985)
    • (1985) Memoirs of Am. Math. Soc. , vol.54 , pp. 1-55
    • Askey, R.1    Wilson, J.2
  • 16
    • 0039474523 scopus 로고
    • On spectral properties of q-oscillator operators
    • Burban, I.M., Klimyk, A.U.: On spectral properties of q-oscillator operators. Lett. Math. Phys. 29, 13-18 (1993)
    • (1993) Lett. Math. Phys. , vol.29 , pp. 13-18
    • Burban, I.M.1    Klimyk, A.U.2
  • 17
    • 0002095044 scopus 로고
    • A generalization of ultraspherical polynomials
    • P. Erdös (ed.) Basel: Birkhäuser
    • Askey, R., Ismail, M.: A generalization of ultraspherical polynomials, In: Studies in Pure Mathematics, P. Erdös (ed.) Basel: Birkhäuser, 1983, pp. 55-78
    • (1983) Studies in Pure Mathematics , pp. 55-78
    • Askey, R.1    Ismail, M.2
  • 20
    • 0038881847 scopus 로고
    • On spectral theory of non-selfadjoint difference operators of the second order with matrix coefficients
    • in Russian
    • Maksudov, F.G., Allakhverdiev, B.P.: On spectral theory of non-selfadjoint difference operators of the second order with matrix coefficients. Dokl. Russian Akad. Nauk, 328, 654-657 (1993) (in Russian)
    • (1993) Dokl. Russian Akad. Nauk , vol.328 , pp. 654-657
    • Maksudov, F.G.1    Allakhverdiev, B.P.2
  • 22
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    • q-Deformed orthogonal and pseudo-orthogonal algebras and their representations
    • Gavrilik, A.M., Klimyk, A.U.: q-Deformed orthogonal and pseudo-orthogonal algebras and their representations. Lett. Math. Phys. 21, 215-220 (1991)
    • (1991) Lett. Math. Phys. , vol.21 , pp. 215-220
    • Gavrilik, A.M.1    Klimyk, A.U.2
  • 23
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    • Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
    • in press
    • Noumi, M.: Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces. Adv. in Math, (in press)
    • Adv. in Math
    • Noumi, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.