Asymptotics of Matrix Coefficients

  • Roger Howe
  • Eng Chye Tan
Part of the Universitext book series (UTX)


We could go on producing a list of things that one could do with representations of SL(2, ℝ). And we may be even tempted to draw close analogies between the representation theory of SL(2, ℝ) and SL(n, ℝ) for n ≥ 3. In some senses, there are similarities; but there are also important differences. One of the aims of this chapter is to bring out a fundamental difference between SL(2, ℝ) and SL(n, ℝ) (n ≥ 3). In the process, we also find dramatic differences between harmonic analysis on SL(n, ℝ) and the classical case of ℝ n .


Riemann Surface Matrix Coefficient Unitary Representation Regular Representation Discrete Series 
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Copyright information

© Springer-Verlag New York, Inc. 1992

Authors and Affiliations

  • Roger Howe
    • 1
  • Eng Chye Tan
    • 2
  1. 1.Department of MathematicsYale UniversityNew HavenUSA
  2. 2.Department of MathematicsNational University of SingaporeSingapore

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