Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Wodzicki residue for pseudo-differential operators on compact Lie
  groups   Let $G$ be an arbitrary compact Lie group. In this work we apply the method
of the analytic continuation of traces in order to compute the Wodzicki residue
for a classical pseudo-differential operator on $G$ in terms of its
matrix-valued symbol (which is globally defined on the non-commutative phase
space $G\times \widehat{G},$ with $\widehat{G}$ being the unitary dual of $G$).
Our main theorem is complementary to the results in [2], where we remove the
ellipticity hypothesis when the operators belong to the H\"ormander classes on
$G$ defined by local coordinate systems.

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The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph