Spherical functions on $p$-adic homogeneous spaces

dc.creatorHironaka, Yumiko
dc.date2009-04-01
dc.date2009-04-25
dc.date.accessioned2026-07-07T13:08:10Z
dc.date.available2026-07-07T13:08:10Z
dc.descriptionWe 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.
dc.description28pages
dc.identifierhttps://arxiv.org/abs/0904.0102
dc.identifierhttp://arxiv.org/abs/0904.0102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228332
dc.subjectNumber Theory
dc.subject11F85; 11E95; 11F70;
dc.titleSpherical functions on $p$-adic homogeneous spaces
dc.typetext

Files

Collections