Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of Continuous and C\`adl\`ag Versions for Cylindrical
  Processes in the Dual of a Nuclear Space   Let $\Phi$ be a nuclear space and let $\Phi'_{\beta}$ denote its strong dual.
In this paper we introduce sufficient conditions for a cylindrical process in
$\Phi'$ to have a version that is a $\Phi'_{\beta}$-valued continuous or
c\'{a}dl\'{a}g process. We also establish sufficient conditions for the
existence of such a version taking values and having finite moments in a
Hilbert space continuously embedded in $\Phi'_{\beta}$. Finally, we apply our
results to the study of properties of cylindrical martingales in $\Phi'$.

3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn