Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An observation on the Tur\'an-Nazarov inequality   The main observation of this note is that the Lebesgue measure $\mu$ in the
Tur\'an-Nazarov inequality for exponential polynomials can be replaced with a
certain geometric invariant $\omega \ge \mu$, which can be effectively
estimated in terms of the metric entropy of a set, and may be nonzero for
discrete and even finite sets. While the frequencies (the imaginary parts of
the exponents) do not enter in the original Tur\'an-Nazarov inequality, they
necessarily enter the definition of $\omega$.

17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom