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Whittaker Functions on Real Semisimple Lie Groups of Rank Two
  Published:2010-01-19
 Printed: Jun 2010
Canadian Journal of Mathematics
  • Taku Ishii,
    Faculty of Science and Technology, Seikei University, Japan
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Abstract

We give explicit formulas for Whittaker functions on real semisimple Lie groups of real rank two belonging to the class one principal series representations. By using these formulas we compute certain archimedean zeta integrals.
MSC Classifications: 11F70, 22E30 show english descriptions Representation-theoretic methods; automorphic representations over local and global fields
Analysis on real and complex Lie groups [See also 33C80, 43-XX] 11F70 - Representation-theoretic methods; automorphic representations over local and global fields
22E30 - Analysis on real and complex Lie groups [See also 33C80, 43-XX]
 
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