Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: ${\mathcal D}$-Pseudo-Bosons, Complex Hermite Polynomials, and Integral
  Quantization   The ${\mathcal D}$-pseudo-boson formalism is illustrated with two examples.
The first one involves deformed complex Hermite polynomials built using
finite-dimensional irreducible representations of the group ${\rm
GL}(2,{\mathbb C})$ of invertible $2 \times 2$ matrices with complex entries.
It reveals interesting aspects of these representations. The second example is
based on a pseudo-bosonic generalization of operator-valued functions of a
complex variable which resolves the identity. We show that such a
generalization allows one to obtain a quantum pseudo-bosonic version of the
complex plane viewed as the canonical phase space and to understand functions
of the pseudo-bosonic operators as the quantized versions of functions of a
complex variable.

34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th