Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: L\'{e}vy processes and stochastic integrals in the sense of generalized
  convolutions   In this paper, we present a comprehensive theory of generalized and weak
generalized convolutions, illustrate it by a large number of examples, and
discuss the related infinitely divisible distributions. We consider L\'{e}vy
and additive process with respect to generalized and weak generalized
convolutions as certain Markov processes, and then study stochastic integrals
with respect to such processes. We introduce the representability property of
weak generalized convolutions. Under this property and the related weak
summability, a stochastic integral with respect to random measures related to
such convolutions is constructed.

12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas