High Quality Content by WIKIPEDIA articles! In mathematics, the Whittaker model is a realization of a representations of GL2 over a local field on a space of functions on the group. It is named after E. T. Whittaker even though he never worked in this area, because when the local field is the real numbers some of the functions involved in the representation are Whittaker functions.If G is the algebraic group GL2 and F is a local field, and is a fixed non-trivial character of the additive group of F and is an irreducible representation of G(F), then the Whittaker model for is a representation on a space of functions f on G(F) satisfying.