Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical integration of H\"older continuous, absolutely convergent
  Fourier-, Fourier cosine-, and Walsh series   We introduce quasi-Monte Carlo rules for the numerical integration of
functions $f$ defined on $[0,1]^s$, $s \ge 1$, which satisfy the following
properties: the Fourier-, Fourier cosine- or Walsh coefficients of $f$ are
absolutely summable and $f$ satisfies a H\"older condition of order $\alpha$,
for some $0 < \alpha \le 1$. We show a convergent rate of the integration error
of order $\max((s-1) N^{-1/2}, s^{\alpha/2} N^{-\alpha} )$. The construction of
the quadrature points is explicit and is based on Weil sums.

8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs