Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Time regularity of L\'{e}vy-type evolution in Hilbert spaces and of some
  $\alpha$-stable processes   In this paper we consider the existence of weakly c\`adl\`ag versions of a
solution to a linear equation in a Hilbert space $H$, driven by a Levy process
taking values in a Hilbert space $U$. In particular we are interested in
diagonal type processes, where process on coordinates are functionals of
independent $\alpha$ stable symmetric process. We give the if and only if
characterization in this case. We apply the same techniques to obtain a
sufficient condition for existence of a c\`adl\`ag versions of stable processes
described as integrals of deterministic functions with respect to symmetric
$\alpha$-stable random measures with $\alpha\in[1,2)$.

35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
1
The categories of this paper are: cs
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph