Spherical functions on $p$-adic homogeneous spaces
Number Theory
2009-04-25 v2
Abstract
We give a general expression of spherical functions on -adic homogeneous spaces of , based on data of and functional equations of spherical functions. Then, we show a unified method to obtain functional equations of spherical functions and relate them those of -adic local zeta functions of small prehomogeneous vector spaces.
Cite
@article{arxiv.0904.0102,
title = {Spherical functions on $p$-adic homogeneous spaces},
author = {Yumiko Hironaka},
journal= {arXiv preprint arXiv:0904.0102},
year = {2009}
}
Comments
28pages