Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An analytic KAM-Theorem   We prove an analytic KAM-Theorem, which is used in [1], where the
differential part of KAM-theory is discussed. Related theorems on analytic
KAM-theory exist in the literature (e. g., among many others, [7], [8], [13]).
The aim of the theorem presented here is to provide exactly the estimates
needed in [1].

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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: physics