Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling
  spaces on compact homogeneous manifolds   In this paper we prove Nikolskii's inequality on general compact Lie groups
and on compact homogeneous spaces with the constant interpreted in terms of the
eigenvalue counting function of the Laplacian on the space, giving the best
constant for certain indices, attained on the Dirichlet kernel. Consequently,
we establish embedding theorems between Besov spaces on compact homogeneous
spaces, as well as embeddings between Besov spaces and Wiener and Beurling
spaces. We also analyse Triebel-Lizorkin spaces and $\beta$-versions of Wiener
and Beurling spaces and their embeddings, and interpolation properties of all
these spaces.

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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
3
The categories of this paper are: physics