石井 卓

We study Whittaker functions for the principal series representations of SL(n,R). We derive a system of partial differential equations characterizing our Whittaker functions. We give explicitly power series solutions at the regular singularity of ...

We give explicit formulas for Whittaker functions for the class one principal series representations of the orthogonal groups SO2n+1(R) of odd degree. Our formulas are similar to the recursive formulas for Whittaker functions on SLn(R) given by St...