Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The orthogonal complement of the Hilbert space associated to holomorphic
  Hermite polynomials   We study the orthogonal complement of the Hilbert subspace considered by by
van Eijndhoven and Meyers in [J. Math. Anal. Appl. 146 (1990), no. 1, 89--98}
and associated to holomorphic Hermite polynomials. A polyanalytic orthonormal
basis is given and the explicit expressions of the corresponding reproducing
kernel functions and Segal--Bargmann integral transforms are provided.

17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio