Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp estimates for $W$-invariant Dunkl and heat kernels in the $A_n$
  case   In this article, we prove exact estimates for the $W$-invariant Dunkl kernel
and heat kernel, for the root system of type $A$ with arbitrary positive
multiplicities. We apply the estimates of the $W$-invariant Dunkl heat kernel
to compute sharp estimates for the Newton kernel and for the $s$-stable
semigroups generated by a fractional power of the $W$-invariant Dunkl
Laplacian.

9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex