The generalized Whittaker functions for \(SU\)(2,1) and the Fourier expansion of automorphic forms

DOI10.3792/PJAA.76.55zbMath1005.11025OpenAlexW2112004541MaRDI QIDQ1587876

Yoshi-hiro Ishikawa

Publication date: 28 February 2001

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.76.55

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Fourier coefficients of automorphic forms (11F30) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

• The multiplicity one theorem for \(\mathrm{GL}_n\)
• Gelfand-Kirillov dimension for Harish-Chandra modules
• Whittaker functions for the large discrete series representations of \(\mathrm{SU}(2,1)\) and related zeta integrals
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