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Matrix coefficients of nilpotent lie groups

Part of the Lecture Notes in Mathematics book series (LNM,volume 1077)

Keywords

  • Matrix Coefficient
  • Irreducible Unitary Representation
  • Admissible Representation
  • Closed Graph Theorem
  • Frechet Space

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References

  1. Borel, A., and Wallach, N., Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups. Annals of Mathematics Studies #94, Princeton, Princeton University Press, 1980.

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  2. Casselman, W., and Miličić, D., Asymptotic Behavior of Matrix Coefficients of Admissible Representations, preprint.

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  3. Dixmier, J., Les C*-Algebres et Leurs Représentations. Paris, Gauthier-Villars, 1964.

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  4. Gorin, E., Asymptotic Properties of Polynomials and Algebraic Functions of Several Variables, Uspehi Mat. Nauk 16 (1961), pp. 93–119 (English translation in Russian Mathematical Surveys 16 (1961), pp. 95–119).

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  5. Howe, R., and Moore, C. C., Asymptotic Properties of Unitary Representations, J. Funct. Anal. 32 (1979), pp. 72–96.

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  6. Moore, C. C., and Wolf, J., Square Integrable Representations of Nilpotent Lie Groups, Trans. A. M. S. 185 (1973), pp. 445–462.

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  7. Van Dijk, G., Square-Integrable Representations mod Z of Unipotent Groups, Compositio Math. 29 (1974), pp. 141–150.

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© 1984 Springer-Verlag

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Corwin, L. (1984). Matrix coefficients of nilpotent lie groups. In: Herb, R., Johnson, R., Lipsman, R., Rosenberg, J. (eds) Lie Group Representations III. Lecture Notes in Mathematics, vol 1077. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072334

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  • DOI: https://doi.org/10.1007/BFb0072334

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13385-8

  • Online ISBN: 978-3-540-38936-1

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