scientific article
From MaRDI portal
Publication:2705879
zbMath0958.11037MaRDI QIDQ2705879
Publication date: 19 March 2001
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Casimir operatorWhittaker functionsWhittaker vectorsquantum mechanical Toda latticeirreducible admissible principal seriesSchmid operators
Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Semisimple Lie groups and their representations (22E46) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
Related Items
Whittaker functions for generalized principal series representations of \(\mathrm{GSp}(2,\mathbb{R})\) ⋮ Fourier-Jacobi type spherical functions for principal series representations of \(\text{Sp}(2,\mathbb R)\). ⋮ The \((\mathfrak g,K)\)-module structures of principal series of \(\text{SU}(2,2)\) ⋮ Whittaker functions for \(P_J\)-principal series representations of \(\text{Sp}(3,\mathbb R)\) ⋮ Commutation relations of differential operators and Whittaker functions on \(\text{Sp}_ 2(\mathbb{R})\) ⋮ Differential equations for principal series Whittaker functions on \(SU(2,2)\) ⋮ Principal series and generalized principal series Whittaker functions with peripheral \(K\)-types on the real symplectic group of rank 2 ⋮ Spinor $L$-functions for generic cusp forms on $GSp(2)$ belonging to principal series representations ⋮ Spherical functions of the principal series representations of \(Sp(2,\mathbb{R})\) as hypergeometric functions of \(C_2\)-type ⋮ Principal series Whittaker functions on \(Sp(2,\mathbb{C})\) ⋮ Principal series Whittaker functions on \(\operatorname {Sp}(2;\mathbb{R})\). II ⋮ On principal series Whittaker functions on \(\text{Sp}(2,\mathbb R)\)