scientific article; zbMATH DE number 6127272

zbMath1262.22003MaRDI QIDQ4903245

Takayuki Oda

Publication date: 21 January 2013

Full work available at URL: https://projecteuclid.org/euclid.nmj/1354716561

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zbMATH Keywords

symplectic groupdiscrete seriesmatrix coefficientsAppell's differential equation

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) Harmonic analysis and spherical functions (43A90) Appell, Horn and Lauricella functions (33C65)

Related Items (1)

An explicit integral representation of Siegel-Whittaker functions on 𝑆𝑝(2,ℝ) for the large discrete series representations

Cites Work

• Spherical functions of the principal series representations of \(Sp(2,\mathbb{R})\) as hypergeometric functions of \(C_2\)-type
• Matrix coefficients of the middle discrete series of \(\text{SU}(2,2)\). II: The explicit asymptotic expansion
• 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
• 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 \(BC\))
• Matrix coefficients of the middle discrete series of \(\text{SU}(2,2)\)
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