Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Logvinenko-Sereda Theorem for the Fourier-Bessel transform   The aim of this paper is to establish an analogue of Logvinenko-Sereda's
theorem for the Fourier-Bessel transform (or Hankel transform) $\ff_\alpha$ of
order $\alpha>-1/2$. Roughly speaking, if we denote by $PW_\alpha(b)$ the
Paley-Wiener space of $L^2$-functions with Fourier-Bessel transform supported
in $[0,b]$, then we show that the restriction map $f\to f|_\Omega$ is
essentially invertible on $PW_\alpha(b)$ if and only if $\Omega$ is
sufficiently dense. Moreover, we give an estimate of the norm of the inverse
map. As a side result we prove a Bernstein type inequality for the
Fourier-Bessel transform.

27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph