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Solution of a conjecture of Langlands

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Book cover Non Commutative Harmonic Analysis and Lie Groups

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1020))

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Abstract

We present in this paper the solution of Langlands' conjecture on the multiplicity of an integrable discrete series representation in L2(Γ/G). We show that the conjecture is true in fact for infinitely many non-integrable discrete classes.

Research supported by NSF Grant No. PRM 8205819.

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Massachusetts, 01003, Amherst, Massachusetts, USA

    Floyd L. Williams

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  1. Floyd L. Williams
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Jaques Carmona Michèle Vergne

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© 1983 Springer-Verlag

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Williams, F.L. (1983). Solution of a conjecture of Langlands. In: Carmona, J., Vergne, M. (eds) Non Commutative Harmonic Analysis and Lie Groups. Lecture Notes in Mathematics, vol 1020. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0071502

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  • DOI: https://doi.org/10.1007/BFb0071502

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12717-8

  • Online ISBN: 978-3-540-38700-8

  • eBook Packages: Springer Book Archive

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