Invariant triple functionals over $U_q{\mathfrak{sl}}_2$

Abstract

We define a $q$-deformation of Jacquet-Langlands principal series representations of $G{L}_2(R)$ and prove the uniqueness of an invariant triple functional on them using the method of H.Y.Loke.

14 pages. An orthographical error is fixed

References in corpus (3)

• Integral soluitons of q-difference equations of the hypergeometric type with |q|=1
• Integral Intertwining Operators and Complex Powers of Differential ($q-$Difference) Operators
• Remarks on a triple integral