Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spherical functions on $p$-adic homogeneous spaces   We 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.

23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat