Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the integral kernels of derivatives of the Ornstein-Uhlenbeck
  semigroup   This paper presents a closed-form expression for the integral kernels
associated with the derivatives of the Ornstein-Uhlenbeck semigroup $e^{tL}$.
Our approach is to expand the Mehler kernel into Hermite polynomials and
applying the powers $L^N$ of the Ornstein-Uhlenbeck operator to it, where we
exploit the fact that the Hermite polynomials are eigenfunctions for $L$. As an
application we give an alternative proof of the kernel estimates by Portal
[2014], making all relevant quantities explicit.

29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph