Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coorbit description and atomic decomposition of Besov spaces   Function spaces are central topic in analysis. Often those spaces and related
analysis involves symmetries in form of an action of a Lie group. Coorbit
theory as introduced by Feichtinger and Gr\"ochenig and then later extended in
[3] gives a unified method to construct Banach spaces of functions based on
representations of Lie groups. In this article we identify the homogeneous
Besov spaces on stratified Lie groups introduced in [13] as coorbit spaces in
the sense of [3] and use this to derive atomic decompositions for the Besov
spaces.

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The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc