Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integration in Hermite spaces of analytic functions   We study integration in a class of Hilbert spaces of analytic functions
defined on the $\mathbb{R}^s$. The functions are characterized by the property
that their Hermite coefficients decay exponentially fast. We use Gauss-Hermite
integration rules and show that the error of our algorithms decays
exponentially fast. Furthermore, we give necessary and sufficient conditions
under which we achieve exponential convergence with weak, polynomial, and
strong polynomial tractability.

27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat