Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Aleksandrov-Clark measures and semigroups of analytic functions in the
  unit disc   In this paper we prove a formula describing the infinitesimal generator of a
continuous semigroup $(\v_t)$ of holomorphic self-maps of the unit disc with
respect to a boundary regular fixed point. The result is based on
Alexandrov-Clark measures techniques. In particular we prove that the
Alexandrov-Clark measure of $(\v_t)$ at a boundary regular fixed points is
differentiable (in the weak$^\ast$-topology) with respect to $t$.

9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics