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Volumn 45, Issue 2, 1998, Pages 387-397

Invariant Cauchy-Riemann operators and relative discrete series of line bundles over the unit ball of ℂd

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EID: 0032445118     PISSN: 00262285     EISSN: None     Source Type: Journal    
DOI: 10.1307/mmj/1030132190     Document Type: Article
Times cited : (13)

References (14)
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    • Engliš, M.1    Peetre, J.2
  • 7
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    • Harmonic analysis on the quantized Riemann sphere
    • J. Peetre and G. Zhang, Harmonic analysis on the quantized Riemann sphere, Internat. J. Math. Math. Sci. 16 (1993), 225-243.
    • (1993) Internat. J. Math. Math. Sci. , vol.16 , pp. 225-243
    • Peetre, J.1    Zhang, G.2
  • 8
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    • Rudin, W.1
  • 9
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    • Iwanami Shoten and Princeton Univ. Press, Tokyo and Princeton, NJ
    • I. Satake, Algebraic structures of symmetric domains, Iwanami Shoten and Princeton Univ. Press, Tokyo and Princeton, NJ, 1980.
    • (1980) Algebraic Structures of Symmetric Domains
    • Satake, I.1
  • 10
    • 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
  • 11
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    • Invariant differential operators on Hermitian symmetric spaces
    • G. Shimura, Invariant differential operators on Hermitian symmetric spaces, Ann. of Math. (2) 132 (1990), 237-272.
    • (1990) Ann. of Math. (2) , vol.132 , pp. 237-272
    • Shimura, G.1
  • 12
    • 21844523831 scopus 로고
    • Berezin transform and invariant differential operators
    • A. Unterberger and H. Upmeier, Berezin transform and invariant differential operators, Comm. Math. Phys. 164 (1994), 563-597.
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    • Unterberger, A.1    Upmeier, H.2
  • 13
    • 84968467363 scopus 로고
    • The analytic continuation of the discrete series, I, II
    • N. Wallach, The analytic continuation of the discrete series, I, II, Trans. Amer. Math. Soc. 251 (1979), 1-17, 19-37.
    • (1979) Trans. Amer. Math. Soc. , vol.251 , pp. 1-17
    • Wallach, N.1
  • 14
    • 0013501116 scopus 로고
    • A weighted Plancherel formula II. The case of the ball
    • G. Zhang, A weighted Plancherel formula II. The case of the ball, Studia Math. 102 (1992), 103-120.
    • (1992) Studia Math. , vol.102 , pp. 103-120
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