Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hankel and Toeplitz operators: continuous and discrete representations   We find a relation guaranteeing that Hankel operators realized in the space
of sequences $\ell^2 ({\Bbb Z}_{+}) $ and in the space of functions $L^2 ({\Bbb
R}_{+}) $ are unitarily equivalent. This allows us to obtain exhaustive
spectral results for two classes of unbounded Hankel operators in the space
$\ell^2 ({\Bbb Z}_{+}) $ generalizing in different directions the classical
Hilbert matrix. We also discuss a link between representations of Toeplitz
operators in the spaces $\ell^2 ({\Bbb Z}_{+}) $ and $L^2 ({\Bbb R}_{+}) $.

37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics