Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Schatten-von Neumann class properties of pseudo-differential
  operators. Cordes' lemma   We prove an extended version of Cordes' lemma concerning trace-class
properties of some special pseudo-differential operators. This version of
Cordes' lemma is used to improve the results in \cite{Arsu} concerning the
Schatten-class properties of pseudo-differential operators in the $(X,\tau)
$-quantization. Here $X$ is an $n$ dimensional vector space and $\tau $ is an
endomorphism of $X$.

17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas