Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dual of 2D fractional Fourier transform associated to It\^o--Hermite
  polynomials   A class of integral transforms, on the planar Gaussian Hilbert space with
range in the weighted Bergman space on the bi-disk, is defined as the dual
transforms of the 2d fractional Fourier transform associated with the Mehler
function for It\^o--Hermite polynomials. Some spectral properties of these
transforms are investigated. Namely, we study their boundedness and identify
their null spaces as well as their ranges. Such identification depends on the
zeros set of It\^o--Hermite polynomials. Moreover, the explicit expressions of
their singular values are given and compactness and membership in p-Schatten
class are studied. The relationship to specific fractional Hankel transforms is
also established

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The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio