Extension of Whittaker functions and test vectors
Extension of Whittaker functions and test vectors
We show that certain products of Whittaker functions and Schwartz functions on a general linear group extend to Whittaker functions on a larger general linear group. This generalizes results of Cogdell and Piatetski-Shapiro (Representation Theory, Number Theory, and Invariant Theory. Progress in Mathematics, Birkhäuser/Springer, Cham, 2017) and Jacquet et al. …