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Volumn 100, Issue 1, 2002, Pages 153-175

On the natural representation of S(Ω) into L2 (P(Ω)): Discrete harmonics and fourier transform

Author keywords

Discrete Laplacian operator; Finite fourier transform; Finite symmetric space; Hahn polynomials; Johnson association scheme; Krawtchouk polynomials; Symmetric group; Terwilliger algebra

Indexed keywords


EID: 0036797002     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcta.2002.3291     Document Type: Article
Times cited : (7)

References (11)
  • 1
    • 0003573612 scopus 로고
    • "Algebraic Combinatorics I: Association Schemes"
    • Benjamin/Cummings, Menlo Park, CA
    • E. Bannai and T. Ito, "Algebraic Combinatorics I: Association Schemes," Benjamin/Cummings, Menlo Park, CA, 1984.
    • (1984)
    • Bannai, E.1    Ito, T.2
  • 3
    • 0003730399 scopus 로고
    • "Group Representations in Probability and Statistics"
    • Institute of Mathematical Statistics Lecture Notes-Monograph Series, 11. Institute of Mathematical Statistics, Hayward
    • P. Diaconis, "Group Representations in Probability and Statistics," Institute of Mathematical Statistics Lecture Notes-Monograph Series, 11. Institute of Mathematical Statistics, Hayward, 1988.
    • (1988)
    • Diaconis, P.1
  • 4
    • 0004167856 scopus 로고
    • "Representation Theory: A First Course"
    • Graduate Texts in Mathematics, Springer-Verlag, Berlin
    • W. Fulton and J. Harris, "Representation Theory: A First Course," Graduate Texts in Mathematics, Springer-Verlag, Berlin, 1991.
    • (1991)
    • Fulton, W.1    Harris, J.2
  • 5
    • 10644287724 scopus 로고    scopus 로고
    • The Terwilliger algebra of the hypercube
    • J. T. Go, The Terwilliger algebra of the hypercube, European J. Combin. 23 (2002), 399-429.
    • (2002) European J. Combin , vol.23 , pp. 399-429
    • Go, J.T.1
  • 6
    • 0003525990 scopus 로고
    • "The theory of Error Correcting Codes"
    • North-Holland, Amsterdam
    • F. J. MacWilliams and N. J. A. Sloane, "The theory of Error Correcting Codes," North-Holland, Amsterdam, 1977.
    • (1977)
    • MacWilliams, F.J.1    Sloane, N.J.A.2
  • 7
    • 0003398316 scopus 로고
    • "Special Functions of Mathematical Physics"
    • Birkhäuser, Basel
    • A. F. Nikiforov and V. B. Uvarov, "Special Functions of Mathematical Physics," Birkhäuser, Basel, 1988.
    • (1988)
    • Nikiforov, A.F.1    Uvarov, V.B.2
  • 8
    • 0003705593 scopus 로고    scopus 로고
    • "Fourier Analysis on Finite Groups and Applications"
    • London Mathematical Society Studies Texts
    • A. Terras, "Fourier Analysis on Finite Groups and Applications," London Mathematical Society Studies Texts, 1999.
    • (1999)
    • Terras, A.1
  • 9
    • 0002641888 scopus 로고
    • The subconstituent algebra of an association scheme I
    • P. Terwilliger, The subconstituent algebra of an association scheme I, J. Algebraic Combin. 1 (1992), 73-103.
    • (1992) J. Algebraic Combin , vol.1 , pp. 73-103
    • Terwilliger, P.1
  • 10
    • 84951517865 scopus 로고
    • The subconstituent algebra of an association scheme II
    • P. Terwilliger, The subconstituent algebra of an association scheme II, J. Algebraic Combin. 2 (1993), 177-210.
    • (1993) J. Algebraic Combin , vol.2 , pp. 177-210
    • Terwilliger, P.1
  • 11
    • 0011018192 scopus 로고
    • The subconstituent algebra of an association scheme III
    • P. Terwilliger, The subconstituent algebra of an association scheme III, J. Algebraic Combin. 2 (1994), 323-334.
    • (1994) J. Algebraic Combin , vol.2 , pp. 323-334
    • Terwilliger, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.