Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Expansions for Gaussian processes and Parseval frames   We derive a precise link between series expansions of Gaussian random vectors
in a Banach space and Parseval frames in their reproducing kernel Hilbert
space. The results are applied to pathwise continuous Gaussian processes and a
new optimal expansion for fractional Ornstein-Uhlenbeck processes is derived.
In the end an extension of this result to Gaussian stationary processes with
convex covariance function is established.

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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
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The categories of this paper are: q-fin