Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomial approximation of self-similar measures and the spectrum of
  the transfer operator   We consider self-similar measures on $\mathbb R.$ The Hutchinson operator $H$
acts on measures and is the dual of the transfer operator $T$ which acts on
continuous functions. We determine polynomial eigenfunctions of $T .$ As a
consequence, we obtain eigenvalues of $H$ and natural polynomial approximations
of the self-similar measure. Bernoulli convolutions are studied as an example.

20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
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The categories of this paper are: solv-int
9
The categories of this paper are: nlin
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg