Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-asymptotically almost periodic functions and applications   The main aim of this paper is to consider the classes of quasi-asymptotically
almost periodic functions and Stepanov quasi-asymptotically almost periodic
functions in Banach spaces. These classes extend the well known classes of
asymptotically almost periodic functions, Stepanov asymptotically almost
periodic functions and S-asymptotically $\omega$-periodic functions with values
in Banach spaces. We investigate the invariance of introduced properties under
the action of finite and inifinite convolution products, providing also an
illustrative application to abstract nonautonomous differential equations of
first order.

12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an