Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The constant term of tempered functions on a real spherical space   Let $Z$ be a unimodular real spherical space. We develop a theory of constant
terms for tempered functions on $Z$ which parallels the work of Harish-Chandra.
The constant terms $f_I$ of an eigenfunction $f$ are parametrized by subsets
$I$ of the set $S$ of spherical roots which determine the fine geometry of $Z$
at infinity. Constant terms are transitive i.e. $(f_J)_I=f_I$ for $I\subset J$,
and our main result is a quantitative bound of the difference $f-f_I$, which is
uniform in the parameter of the eigenfunction.

31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess