Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector- valued distributions and Hardy's uncertainty principle for
  operators   In this paper, we generalise Hardy's uncertainty principle to vector-valued
functions, and hence to operators. The principle for operators can be
formulated loosely by saying that the kernel of an operator cannot be localised
near the diagonal if the spectrum is also localised.

1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin