Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^p$-independence of spectral bounds of generalized non-local
  Feynman-Kac semigroups   Let $X$ be a symmetric strong Markov process on a Luzin space. In this paper,
we present criteria of the $L^p$-independence of spectral bounds for
generalized non-local Feynman-Kac semigroups of $X$ that involve continuous
additive functionals of $X$ having zero quadratic variations and discontinuous
additive functionals of $X$.

21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th