Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: De Branges canonical systems with finite logarithmic integral   Krein-de Branges spectral theory establishes a correspondence between the
class of differential operators called canonical Hamiltonian systems and
measures on the real line with finite Poisson integral. We further develop this
area by giving a description of canonical Hamiltonian systems whose spectral
measures have logarithmic integral converging over the real line. This result
can be viewed as a spectral version of the classical Szego theorem in the
theory of polynomials orthogonal on the unit circle. It extends Krein-Wiener
completeness theorem, a key fact in the prediction of stationary Gaussian
processes.

24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th