Test vectors for archimedean period integrals
Test vectors for archimedean period integrals
We study period integrals involving Whittaker functions associated to generic irreducible Casselman-Wallach representations of GLn(F ), where F is an archimedean local field.Via the archimedean theory of newforms for GLn developed by the first author, we prove that newforms are weak test vectors for several period integrals, including the GLn …