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Functions on the shilov boundary of the generalized half plane

  • M. Kashiwara
  • M. Vergne
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 728)

Keywords

Unitary Representation Symmetric Matrice Hermitian Form Positive Definite Matrice Holonomic System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    R. Howe: On some results of Strichartz and of Rallis and Schiffmann. To appear in Journal of Functional Analysis.Google Scholar
  2. [2]
    H. Jakobsen and M. Vergne: "The Wave and Dirac operators and representations of the conformal group". J. Funct. Anal. vol 24 (1977), pp. 52–106.MathSciNetzbMATHCrossRefGoogle Scholar
  3. [3]
    Kashiwara, M., Kimura, T. and Muro, M.: Microlocal calculus of simple holonomic system and its applications. (To appear.) See also Kashiwara, M. and Miwa, T.: Microlocal calculus and Fourier transformation of relative invariants of prehomogeneous vector space: Surikaiseki kenkyujo kokyuroku, 238 (1975), pp. 60–147 (in Japanese).Google Scholar
  4. [4]
    M. Kashiwara and M. Vergne: On the Segal-Shale-Weil Representations and Harmonic Polynomials. Inventiones math. 44 (1978), pp. 1–47.MathSciNetzbMATHCrossRefGoogle Scholar
  5. [5]
    S. Rallis and G. Schiffmann: Discrete spectrum of the Weil Representation. Bull. Amer. Math. Soc. 83 (1977), pp. 267–270.MathSciNetzbMATHCrossRefGoogle Scholar
  6. [6]
    H. Rossi and M. Vergne: Equations de Cauchy-Riemann tangentielles associées à un domaine de Siegel. Annales Scientifiques de l'Ecole Normale Superieure, vol. 9, (1976), pp. 31–80.MathSciNetzbMATHGoogle Scholar
  7. [7]
    M. Kashiwara and M. Vergne: K-types and singular spectrum. (same volume).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1979

Authors and Affiliations

  • M. Kashiwara
    • 1
  • M. Vergne
    • 1
  1. 1.Centre National de la Recherche ScientifiqueMassachusetts Institute of TechnologyUSA

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