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Explicit formulas for spherical Whittaker functions on GL(n,R) were obtained by Stade around 1990. As an application, Stade computed archimedean zeta integrals for automorphic L-functions on GL(n)×GL(n) and GL(n)×GL(n-1). In this talk, I will discuss joint work with Stade on extending these results to classical groups.
Archimedean Whittaker functions and archimedean zeta integrals Sponsored by the Meyer Fund
Archimedean Whittaker functions and archimedean zeta integrals