Generalized Poincaré series for \(\operatorname{SU}(2,1)\)

DOI10.1090/ERT/674MaRDI QIDQ6631397

R. J. Miatello, Roelof Bruggeman

Publication date: 1 November 2024

Published in: Representation Theory (Search for Journal in Brave)

zbMATH Keywords

completenessPoincaré seriesunitary group \(\operatorname{SU}(2,1)\)

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Other groups and their modular and automorphic forms (several variables) (11F55) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

• Automorphic forms constructed from Whittaker vectors
• Memoir on Fuchsian functions.
• Matrix valued spherical functions associated to the complex projective plane
• On two geometric theta lifts
• Whittaker functions for the large discrete series representations of \(\mathrm{SU}(2,1)\) and related zeta integrals
• Automorphic forms on semisimple Lie groups. Notes by J. G. M. Mars.
• A class of nonanalytic automorphic functions
• Über die Entwicklungskoeffizienten der automorphen Formen.
• Representations of SU(2,1) in Fourier Term Modules
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