Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On self-adjointness of Poisson summation   We show that a combination of well-known operators, namely
$\I{\tau}\circ{H}\circ\Ps$ is self-adjoint and {\em ad-hoc} related to the
$\zeta$ function. Here ${\tau}$ is an involution appearing in Weil's positivity
criteria needed for hermitrization, $H$ a regularization operator introduced by
Connes \cite{Co2} and $\Ps$ essentially Poisson summation. We elaborate on the
Hilbert-P\'olya conjecture, discuss why the Hermite-Biehler theorem,
uncertainty relations and cohomologies are interesting in our scenario.

10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom