Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semigroups over real alternative *-algebras: generation theorems and
  spherical sectorial operators   The aim of this paper is twofold. On one hand, generalizing some recent
results obtained in the quaternionic setting, but using simpler techniques, we
prove the generation theorems for semigroups in Banach spaces whose set of
scalars belongs to the class of real alternative *-algebras, which includes,
besides real and complex numbers, quaternions, octonions and Clifford algebras.
On the other hand, in this new general framework, we introduce the notion of
spherical sectorial operator and we prove that a spherical sectorial operator
generates a semigroup that can be represented by a Cauchy integral formula. It
follows that such a semigroup is analytic in time.

32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph