Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A wavelet basis for non-Archimedean $C^n$-functions and $n$-th Lipschitz
  functions   A wavelet basis is a basis for the $K$-Banach space $C(R, K)$ of continuous
functions from a complete discrete valuation ring $R$ whose residue field is
finite to its quotient field $K$. In this paper, we prove a characterization of
$n$-times continuously differentiable functions from $R$ to $K$ by the
coefficients with respect to the wavelet basis and give an orthonormal basis
for $K$-Banach space $C^n(R, K)$ of $n$-times continuously differentiable
functions.

18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess