메뉴 건너뛰기




Volumn 319, Issue 2, 2001, Pages 235-265

Shimura invariant differential operators and their eigenvalues

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035581819     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004434     Document Type: Article
Times cited : (13)

References (29)
  • 1
    • 0002834813 scopus 로고
    • A survey of invariant Hilbert spaces of analytic functions on bounded symmetric domains
    • Jonathan Arazy, A survey of invariant Hilbert spaces of analytic functions on bounded symmetric domains, Contemp. Math. 185 (1995), 7-65.
    • (1995) Contemp. Math. , vol.185 , pp. 7-65
    • Arazy, J.1
  • 2
    • 25444466910 scopus 로고    scopus 로고
    • Covariant Laplacean operators on Kähler manifolds
    • M. Englis and J. Peetre, Covariant Laplacean operators on Kähler manifolds, J. Reine Angew. Math. 478 (1996), 17-56.
    • (1996) J. Reine Angew. Math. , vol.478 , pp. 17-56
    • Englis, M.1    Peetre, J.2
  • 3
    • 0001768923 scopus 로고
    • Function spaces and reproducing kernels on bounded symmetric domains
    • J. Faraut and A. Koranyi, Function spaces and reproducing kernels on bounded symmetric domains, J. Funct. Anal. 88 (1990), 64-89.
    • (1990) J. Funct. Anal. , vol.88 , pp. 64-89
    • Faraut, J.1    Koranyi, A.2
  • 10
    • 0000221732 scopus 로고
    • Weyl quantization and tensor products of Fock and Bergman spaces
    • B. Ørsted and G. Zhang, Weyl quantization and tensor products of Fock and Bergman spaces, Indiana Univ. Math. J. 43 (1994), 551-582.
    • (1994) Indiana Univ. Math. J. , vol.43 , pp. 551-582
    • Ørsted, B.1    Zhang, G.2
  • 11
    • 0031371394 scopus 로고    scopus 로고
    • Tensor products of analytic continuations of holomorphic discrete series
    • B. Ørsted and G. Zhang, Tensor products of analytic continuations of holomorphic discrete series, Canadian J. Math. 49 (1997), 1224-1241.
    • (1997) Canadian J. Math. , vol.49 , pp. 1224-1241
    • Ørsted, B.1    Zhang, G.2
  • 13
    • 0006709779 scopus 로고
    • Opèrateurs diffeérentiels de Shimura et espaces préhomogènes
    • H. Rubenthaler and G. Schiffmann, Opèrateurs diffeérentiels de Shimura et espaces préhomogènes, Invent. Math 90 (1987), no. 2, 409-442.
    • (1987) Invent. Math , vol.90 , Issue.2 , pp. 409-442
    • Rubenthaler, H.1    Schiffmann, G.2
  • 14
    • 0002851961 scopus 로고
    • Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
    • W. Schmid, Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen, Invent. Math 9 (1969), 61-80.
    • (1969) Invent. Math , vol.9 , pp. 61-80
    • Schmid, W.1
  • 15
    • 43949148657 scopus 로고
    • The Plancherel formula for spherical functions with one-dimensional K-Type on a simply connected simple Lie group of hermitian type
    • N. Shimeno, The Plancherel formula for spherical functions with one-dimensional K-Type on a simply connected simple Lie group of hermitian type, J. Funct. Anal. 121 (1994), 331-388.
    • (1994) J. Funct. Anal. , vol.121 , pp. 331-388
    • Shimeno, N.1
  • 16
    • 84972567615 scopus 로고
    • Arithmetic of differential operators on symmetric domains
    • G. Shimura, Arithmetic of differential operators on symmetric domains, Duke Math. J. 48 (1981), no. 4, 813-846.
    • (1981) Duke Math. J. , vol.48 , Issue.4 , pp. 813-846
    • Shimura, G.1
  • 17
    • 84972581480 scopus 로고
    • Differential operators and the singular values of Eisenstein series
    • G. Shimura, Differential operators and the singular values of Eisenstein series, Duke Math. J. 51 (1984), no. 2, 261-329.
    • (1984) Duke Math. J. , vol.51 , Issue.2 , pp. 261-329
    • Shimura, G.1
  • 18
    • 0002938589 scopus 로고
    • On differential operators attached to certain representations of classical groups
    • G. Shimura, On differential operators attached to certain representations of classical groups, Invent. Math. 77 (1984), 463-488.
    • (1984) Invent. Math. , vol.77 , pp. 463-488
    • Shimura, G.1
  • 19
    • 0037506182 scopus 로고
    • On a class of nearly holomorphic automorphic forms
    • G. Shimura, On a class of nearly holomorphic automorphic forms, Ann. Math. 123 (1986), no. 2, 347-406.
    • (1986) Ann. Math. , vol.123 , Issue.2 , pp. 347-406
    • Shimura, G.1
  • 20
    • 0002116721 scopus 로고
    • Nearly holomorphic functions on hermitian symmetric spaces
    • G. Shimura, Nearly holomorphic functions on hermitian symmetric spaces, Math. Ann. 278 (1987), 1-28.
    • (1987) Math. Ann. , vol.278 , pp. 1-28
    • Shimura, G.1
  • 21
    • 0013528107 scopus 로고
    • Invariant differential operators on Hermitian symmetric spaces
    • G. Shimura, Invariant differential operators on Hermitian symmetric spaces, Ann. Math. 132 (1990), 232-272.
    • (1990) Ann. Math. , vol.132 , pp. 232-272
    • Shimura, G.1
  • 22
    • 84973998189 scopus 로고
    • Differential operators, holomorphic projection, and singular forms
    • G. Shimura, Differential operators, holomorphic projection, and singular forms, Duke. Math. J. 76 (1994), no. 1, 141-173.
    • (1994) Duke. Math. J. , vol.76 , Issue.1 , pp. 141-173
    • Shimura, G.1
  • 24
    • 21844523831 scopus 로고
    • The Berezin transform and invariant differential operators
    • A. Unterberger and H. Upmeier, The Berezin transform and invariant differential operators, Comm. Math. Phys. 164 (1994), 563-597.
    • (1994) Comm. Math. Phys. , vol.164 , pp. 563-597
    • Unterberger, A.1    Upmeier, H.2
  • 25
    • 0011966787 scopus 로고
    • Polynomial differential operators associated with hermitian symmetric spaces
    • Representation Theory of Lie Groups and Lie Algebras, (S. Sano. T. Kawazoe, T. Oshima, ed.), World Scientific Singapore
    • N. Wallach, Polynomial differential operators associated with hermitian symmetric spaces, Representation Theory of Lie Groups and Lie Algebras, Proceedings of Fuji-Kawaguchiko Conference 1990 (S. Sano. T. Kawazoe, T. Oshima, ed.), World Scientific Singapore, 1992, pp. 76-95.
    • (1990) Proceedings of Fuji-Kawaguchiko Conference , pp. 76-95
    • Wallach, N.1
  • 26
    • 0000290463 scopus 로고
    • Compact Lie groups and their representations
    • Amer. Math. Soc., Providence, Rhode Island
    • D. P. Zelobenko, Compact Lie groups and their representations, Transl. Math. Monographs, Amer. Math. Soc., Providence, Rhode Island, 1973.
    • (1973) Transl. Math. Monographs
    • Zelobenko, D.P.1
  • 27
    • 0011000033 scopus 로고    scopus 로고
    • Berezin transform on line bundles over hermitian symmetric spaces
    • to appear
    • G. Zhang, Berezin transform on line bundles over hermitian symmetric spaces, J. Lie Theory, to appear.
    • J. Lie Theory
    • Zhang, G.1
  • 28
    • 0000696481 scopus 로고
    • Some recurrence formulas of spherical polynomials on tube domains
    • G. Zhang, Some recurrence formulas of spherical polynomials on tube domains, Trans. Amer. Math. Soc. 347 (1995), 1725-1734.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 1725-1734
    • Zhang, G.1
  • 29
    • 19644362319 scopus 로고    scopus 로고
    • Invariant differential operators on hermitian symmetric spaces and their eigenvalues
    • to appear.
    • G. Zhang, Invariant differential operators on hermitian symmetric spaces and their eigenvalues, Israel J. Math., to appear.
    • Israel J. Math.
    • Zhang, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.