MATRIX COEFFICIENTS OF REPRESENTATIONS OF SU(2,2): THE CASE OF PJ-PRINCIPAL SERIES
From MaRDI portal
Publication:4653532
DOI10.1142/S0129167X04002648zbMath1066.22011MaRDI QIDQ4653532
Publication date: 7 March 2005
Published in: International Journal of Mathematics (Search for Journal in Brave)
Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Hypergeometric functions associated with root systems (33C67)
Related Items (2)
An explicit integral representation of Siegel-Whittaker functions on 𝑆𝑝(2,ℝ) for the large discrete series representations ⋮ Matrix coefficients of the middle discrete series of \(\text{SU}(2,2)\)
Cites Work
- Spherical functions of the principal series representations of \(Sp(2,\mathbb{R})\) as hypergeometric functions of \(C_2\)-type
- Whittaker functions of generalized principal series on \(\mathrm{SU}(2,2)\)
- Embeddings of discrete series into induced representations of semisimple Lie groups. II: Generalized Whittaker models for \(SU(2,2)\)
- Principal series Whittaker functions on \(\operatorname {Sp}(2;\mathbb{R})\). II
- Integral formulas for the spherical polynomials of a root system of type \(BC_ 2\)
- An explicit integral representation of Whittaker functions on \(\text{Sp}(2;\mathbb{R})\) for the large discrete series representations
- Differential equations for principal series Whittaker functions on \(SU(2,2)\)
- Représentation intégrale de certaines séries de fonctions sphériques d'un système de racines \(BC\). (Integral representation of certain series of spherical functions of a root system \(BC\))
- On Stein extensions of real symmetric spaces
- Matrix coefficients of the middle discrete series of \(\text{SU}(2,2)\)
This page was built for publication: MATRIX COEFFICIENTS OF REPRESENTATIONS OF SU(2,2): THE CASE OF PJ-PRINCIPAL SERIES
