Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pseudo-differential calculus on homogeneous trees   In the objective of studying concentration and oscillation properties of
eigenfunctions of the discrete Laplacian on regular graphs, we construct a
pseudo-differential calculus on homogeneous trees, their universal covers. We
define symbol classes and associated operators. We prove that these operators
are bounded on L^2 and give adjoint and product formulas. Finally we compute
the symbol of the commutator of a pseudo-differential operator with the
Laplacian.

9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th