Spherical Functions on 2-adic Ramified Hermetian Spaces
Representation Theory
2012-10-04 v1
Abstract
Y. Hironaka introduced the spherical functions on the p-adic space of Hermitian matrices. For the space of 2\times2 Hermitian matrices, we complete Hironaka's work by also considering the case of a wildly ramified quadratic extension. We compute the spherical functions explicitly and obtain the functional equations.
Keywords
Cite
@article{arxiv.1210.1083,
title = {Spherical Functions on 2-adic Ramified Hermetian Spaces},
author = {Dror Ozeri},
journal= {arXiv preprint arXiv:1210.1083},
year = {2012}
}