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Uniformly bounded representations. IV: Analytic continuation of the principal series for complex classical groups of types B\(_n\), C\(_n\), D\(_n\)

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Publication:1844947
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DOI10.1016/0001-8708(73)90002-9zbMath0285.22014OpenAlexW1531219177MaRDI QIDQ1844947

Elias M. Stein, Ray A. Kunze

Publication date: 1973

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(73)90002-9


Mathematics Subject Classification ID

General properties and structure of complex Lie groups (22E10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)


Related Items

Uniformly bounded representations of \(\operatorname{SL}(2,\mathbb{R})\), Unnamed Item, Deformations of representations



Cites Work

  • Unnamed Item
  • On a lemma of F. Bruhat
  • Harmonic analysis on \(SL(n,C)\)
  • Analysis in matrix spaces and some new representations of \(SL(N,\mathbb{C})\)
  • Intertwining operators for semisimple groups
  • Uniformly Bounded Representations, II. Analytic Continuation of the Principal Series of Representations of the n x n Complex Unimodular Group
  • Uniformly Bounded Representations and Harmonic Analysis of the 2 x 2 Real Unimodular Group
  • Uniformly Bounded Representations III: Intertwining Operators for the Principal Series on Semisimple Groups
  • A Theory of Spherical Functions. I
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