Spherical functions on $p$-adic homogeneous spaces

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228332We give a general expression of spherical functions on $p$-adic homogeneous spaces of $G$, based on data of $G$ and functional equations of spherical functions. Then, we show a unified method to obtain functional equations of spherical functions and relate them those of $p$-adic local zeta functions of small prehomogeneous vector spaces.28pagesNumber Theory11F85; 11E95; 11F70;Spherical functions on $p$-adic homogeneous spacestext