Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Expansion of traces and Dixmier traceability for global
  pseudo-differential operators on manifolds with boundary   Given a smooth manifold $M$ (with or without boundary), in this paper we
study the regularisation of traces for the global pseudo-differential calculus
in the context of non-harmonic analysis. Indeed, using the global
pseudo-differential calculus on manifolds (with or without boundary) developed
in [30], the Calder\'on-Vaillancourt Theorem and the global functional calculus
in [6], we determine the singularity orders in the regularisation of traces and
the sharp regularity orders for the Dixmier traceability of the global
H\"ormander classes. Our analysis (free of coordinate systems) allows us to
obtain non-harmonic analogues of several classical results arising from the
microlocal analysis of regularised traces for pseudo-differential operators
with symbols defined by localisations.

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The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph