Differential equations for principal series Whittaker functions on \(SU(2,2)\)

DOI10.1016/S0019-3577(97)81553-4zbMath0895.22007OpenAlexW2020368981MaRDI QIDQ1384934

Takahiro Hayata

Publication date: 6 September 1998

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(97)81553-4

zbMATH Keywords

Whittaker functionsspecial unitary groupprincipal series

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (5)

The \((\mathfrak g,K)\)-module structures of principal series of \(\text{SU}(2,2)\) ⋮ Principal series and generalized principal series Whittaker functions with peripheral \(K\)-types on the real symplectic group of rank 2 ⋮ MATRIX COEFFICIENTS OF REPRESENTATIONS OF SU(2,2): THE CASE OF P_J-PRINCIPAL SERIES ⋮ Matrix coefficients of the middle discrete series of \(\text{SU}(2,2)\) ⋮ Archimedean zeta integrals on \(U(2,1)\)

Cites Work

• The multiplicity one theorem for \(\mathrm{GL}_n\)
• Gelfand-Kirillov dimension for Harish-Chandra modules
• On Whittaker vectors and representation theory
• An explicit integral representation of Whittaker functions on \(\text{Sp}(2;\mathbb{R})\) for the large discrete series representations
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