Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hermite expansions of $C_0$-groups and cosine functions   In this paper we introduce vector-valued Hermite expansions to approximate
one-parameter operator families such as $C_0$-groups and cosine functions. In
both cases we estimate the rate of convergence of these Hermite expansions to
the related family and compare with other known approximations. Finally we
illustrate our results with particular examples of $C_0$-groups and cosine
functions and their Hermite expansions.

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The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat