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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the structure of the space of cusp forms for a semisimple group over a number field
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by Goran Muić PDF
Proc. Amer. Math. Soc. 138 (2010), 3147-3158 Request permission

Abstract:

Let $G$ be a semisimple algebraic group defined over a number field $k$. We study unramified irreducible components of irreducible automorphic cuspidal representations in the space of cusp forms $\mathcal {A}_{cusp}(G(k)\setminus G(\mathbb {A}))$ using the action of an unramified Hecke algebra on compactly supported cuspidal Poincaré series.
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Additional Information
  • Goran Muić
  • Affiliation: Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia
  • Email: gmuic@math.hr
  • Received by editor(s): September 11, 2009
  • Received by editor(s) in revised form: December 18, 2009
  • Published electronically: April 9, 2010
  • Communicated by: Wen-Ching Winnie Li
  • © Copyright 2010 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 3147-3158
  • MSC (2010): Primary 11F70
  • DOI: https://doi.org/10.1090/S0002-9939-10-10375-X
  • MathSciNet review: 2653939