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Volumn 32, Issue 25, 1999, Pages 4709-4732

Contractions of lie algebras: Applications to special functions and separation of variables

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EID: 0033603108     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/25/312     Document Type: Article
Times cited : (16)

References (20)
  • 1
    • 0000339482 scopus 로고
    • On the contraction of groups and their representations
    • Inönü E and Wigner E P 1953 On the contraction of groups and their representations Proc. Natl Acad. Sci. USA 39 510-24
    • (1953) Proc. Natl Acad. Sci. USA , vol.39 , pp. 510-524
    • Inönü, E.1    Wigner, E.P.2
  • 6
    • 0002731465 scopus 로고    scopus 로고
    • Contractions of lie algebras and separation of variables. The two-dimensional hyperboloid
    • Izmest'ev A A, Pogosyan G S, Sissakian A N and Winternitz P 1997 Contractions of Lie algebras and separation of variables. The two-dimensional hyperboloid Int. J. Mod. Phys. A 12 53-61
    • (1997) Int. J. Mod. Phys. A , vol.12 , pp. 53-61
    • Izmest'ev, A.A.1    Pogosyan, G.S.2    Sissakian, A.N.3    Winternitz, P.4
  • 7
    • 0033241384 scopus 로고    scopus 로고
    • Contractions of lie algebras and separation of variables. The N-dimensional sphere
    • Izmest'ev A A, Pogosyan G S, Sissakian A N and Winternitz P 1998 Contractions of Lie algebras and separation of variables. The N-dimensional sphere J. Math. Phys. 40 1549-73
    • (1998) J. Math. Phys. , vol.40 , pp. 1549-1573
    • Izmest'ev, A.A.1    Pogosyan, G.S.2    Sissakian, A.N.3    Winternitz, P.4
  • 8
    • 0001012535 scopus 로고
    • Separation of variables on n-dimensional Riemannian manifolds I. The n-sphere and Euclidean n-space
    • Kalnins E G and Miller W Jr 1986 Separation of variables on n-dimensional Riemannian manifolds I. The n-sphere and Euclidean n-space J. Math. Phys. 27 1721
    • (1986) J. Math. Phys. , vol.27 , pp. 1721
    • Kalnins, E.G.1    Miller W., Jr.2
  • 11
    • 21144478957 scopus 로고
    • Separable coordinates, integrability and the Niven equations
    • Kalnins E G and Miller W Jr 1992 Separable coordinates, integrability and the Niven equations J. Phys. A: Math. Gen. 25 5663
    • (1992) J. Phys. A: Math. Gen. , vol.25 , pp. 5663
    • Kalnins, E.G.1    Miller W., Jr.2
  • 13
    • 0009126238 scopus 로고
    • Families of orthogonal and biorthogonal polynomials on the n-sphere
    • Kalnins E G, Miller W and Tratnik MV 1991 Families of orthogonal and biorthogonal polynomials on the n-sphere SIAM J. Math. Anal. 22 272
    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 272
    • Kalnins, E.G.1    Miller, W.2    Tratnik, M.V.3
  • 18
    • 0001143954 scopus 로고
    • 2u + λu = 0 allows the complete separation of variables
    • in Russian
    • 2u + λu = 0 allows the complete separation of variables Math. Sb. 27 379 (in Russian)
    • (1950) Math. Sb. , vol.27 , pp. 379
    • Olevskiǐ, M.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.