Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Covariant representations for matrix-valued transfer operators   Motivated by the multivariate wavelet theory, and by the spectral theory of
transfer operators, we construct an abstract affine structure and a
multiresolution associated to a matrix-valued weight. We describe the
one-to-one correspondence between the commutant of this structure and the fixed
points of the transfer operator. We show how the covariant representation can
be realized on $\mathbb{R}^n$ if the weight satisfies some low-pass condition.

33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn