Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limiting absorption principle on $L^p$-spaces and scattering theory   In this paper, we study the mapping property form $L^p$ to $L^q$ of the
resolvent of the Fourier multiplier operators and scattering theory of
generalized Schr\"odinger operators. Though the first half of the subject is
studied in [4], we extend their result to away from the duality line and we
also study the H\"older continuity of the resolvent.

14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn