Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral norm discretization and related problems   The problem of replacing an integral norm with respect to a given probability
measure by the corresponding integral norm with respect to a discrete measure
is discussed in the paper. The above problem is studied for elements of finite
dimensional spaces. Also, discretization of the uniform norm of functions from
a given finite dimensional subspace of continuous functions is studied. We pay
special attention to the case of the multivariate trigonometric polynomials
with frequencies from a finite set with fixed cardinality. Both new results and
a survey of known results are presented.

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat