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Volumn 13, Issue 7, 2002, Pages 727-784

Matrix valued spherical functions associated to the three dimensional hyperbolic space

Author keywords

Coupled system; Generalized hypergeometric functions; Matrix valued bispectral property; Ordinary differential equations

Indexed keywords


EID: 0036741727     PISSN: 0129167X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129167X02001460     Document Type: Article
Times cited : (21)

References (14)
  • 3
    • 0001575148 scopus 로고
    • Differential equations in the spectral parameters
    • J.J. Duistermaat and F.A. Grünbaum, Differential equations in the spectral parameters, Comm. Math. Phys. 103 (1986), 177-240.
    • (1986) Comm. Math. Phys. , vol.103 , pp. 177-240
    • Duistermaat, J.J.1    Grünbaum, F.A.2
  • 4
    • 0010558926 scopus 로고
    • The limited angle problem in tomography and some related mathematical problems
    • Luminy, France, May, North Holland, Amsterdam
    • F.A. Grünbaum, The limited angle problem in tomography and some related mathematical problems, Proc. Intern. Colloq. Luminy, France, May 1982, North Holland, Amsterdam.
    • (1982) Proc. Intern. Colloq.
    • Grünbaum, F.A.1
  • 5
    • 84968466135 scopus 로고
    • A theory of spherical functions I
    • R. Godement, A theory of spherical functions I, Trans. Amer. Math. Soc. 73 (1952), 494-556.
    • (1952) Trans. Amer. Math. Soc. , vol.73 , pp. 494-556
    • Godement, R.1
  • 7
    • 0036472781 scopus 로고    scopus 로고
    • Matrix valued spherical functions associated to the complex projective plane
    • F.A. Grünbaum, I. Pacharoni and J.A. Tirao, Matrix valued spherical functions associated to the complex projective plane, J. Funct. Anal. 188 (2002), 350-441.
    • (2002) J. Funct. Anal. , vol.188 , pp. 350-441
    • Grünbaum, F.A.1    Pacharoni, I.2    Tirao, J.A.3
  • 8
    • 0035824493 scopus 로고    scopus 로고
    • A matrix valued solution to Bochner's problem
    • F.A. Grünbaum, I. Pacharoni and J. Tirao, A matrix valued solution to Bochner's problem, J. Phys. A: Math. Gen. 34(48) (2001), 10647-10656.
    • (2001) J. Phys. A: Math. Gen. , vol.34 , Issue.48 , pp. 10647-10656
    • Grünbaum, F.A.1    Pacharoni, I.2    Tirao, J.3
  • 10
    • 0003082366 scopus 로고
    • The Hahn polynomials, formulas and an application
    • S. Karlin and J. McGregor, The Hahn polynomials, formulas and an application, Scripta Math. 26 (1961), 33-46.
    • (1961) Scripta Math. , vol.26 , pp. 33-46
    • Karlin, S.1    McGregor, J.2
  • 12
    • 0002525346 scopus 로고
    • Jacobi functions and analysis on noncampact semisimple Lie groups
    • Ed. D. Reidel, Dordrecht, Boston, Lancaster, Series title: Mathematics and its Applications.
    • T. Koornwinder, Jacobi functions and analysis on noncampact semisimple Lie groups, in Special Functions: Group Theoretical Aspects and Applications, ed. D. Reidel, Dordrecht, Boston, Lancaster, 1984. Series title: Mathematics and its Applications.
    • (1984) Special Functions: Group Theoretical Aspects and Applications
    • Koornwinder, T.1
  • 13
    • 0002516011 scopus 로고
    • Spherical functions
    • Argentina
    • J. Tirao, Spherical functions, Rev. de la Unión Matem., Argentina 28 (1977), 75-98.
    • (1977) Rev. de la Unión Matem. , vol.28 , pp. 75-98
    • Tirao, J.1
  • 14
    • 84972560708 scopus 로고
    • An analogue of the Payley-Wiener theorem for certain function spaces on SL(2, C)
    • A. Wang, An analogue of the Payley-Wiener theorem for certain function spaces on SL(2, C), Pacific J. Math. 52(2) (1974), 617-629.
    • (1974) Pacific J. Math. , vol.52 , Issue.2 , pp. 617-629
    • Wang, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.