Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebra of convolution type operators with continuous data on Banach
  function spaces   We show that if the Hardy-Littlewood maximal operator is bounded on a
reflexive Banach function space $X(\mathbb{R})$ and on its associate space
$X'(\mathbb{R})$, then the space $X(\mathbb{R})$ has an unconditional wavelet
basis. As a consequence of the existence of a Schauder basis in
$X(\mathbb{R})$, we prove that the ideal of compact operators
$\mathcal{K}(X(\mathbb{R}))$ on the space $X(\mathbb{R})$ is contained in the
Banach algebra generated by all operators of multiplication $aI$ by functions
$a\in C(\dot{\mathbb{R}})$, where $\dot{\mathbb{R}}=\mathbb{R}\cup\{\infty\}$,
and by all Fourier convolution operators $W^0(b)$ with symbols $b\in
C_X(\dot{\mathbb{R}})$, the Fourier multiplier analogue of
$C(\dot{\mathbb{R}})$.

36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga