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Functions on the shilov boundary of the generalized half plane

Part of the Lecture Notes in Mathematics book series (LNM,volume 728)

Keywords

  • Unitary Representation
  • Symmetric Matrice
  • Hermitian Form
  • Positive Definite Matrice
  • Holonomic System

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References

  1. R. Howe: On some results of Strichartz and of Rallis and Schiffmann. To appear in Journal of Functional Analysis.

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  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.

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  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).

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  4. M. Kashiwara and M. Vergne: On the Segal-Shale-Weil Representations and Harmonic Polynomials. Inventiones math. 44 (1978), pp. 1–47.

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  5. S. Rallis and G. Schiffmann: Discrete spectrum of the Weil Representation. Bull. Amer. Math. Soc. 83 (1977), pp. 267–270.

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  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.

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  7. M. Kashiwara and M. Vergne: K-types and singular spectrum. (same volume).

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© 1979 Springer-Verlag Berlin Heidelberg

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Kashiwara, M., Vergne, M. (1979). Functions on the shilov boundary of the generalized half plane. In: Carmona, J., Vergne, M. (eds) Non-Commutative Harmonic Analysis. Lecture Notes in Mathematics, vol 728. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063342

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  • DOI: https://doi.org/10.1007/BFb0063342

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09516-3

  • Online ISBN: 978-3-540-35131-3

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