CASSELMAN- SHALIKA FORMULA FOR THE GENERALIZED SHALIKA MODEL OF SO4n

摘要

We compute the explicit formula (sometimes called the Casselman-Shalika formula) of the generalized Shalika model for unramified principal series of p-adic SO4n. The method mainly used is the Casselman-Shalika method, modified by Y. Hironaka and applied by Y. Sakellaridis to the case of the Shalika model of GL(2n).