Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp $L^p$ estimates for oscillatory integral operators of arbitrary
  signature   The sharp range of $L^p$-estimates for the class of H\"ormander-type
oscillatory integral operators is established in all dimensions under a general
signature assumption on the phase. This simultaneously generalises earlier work
of the authors and Guth, which treats the maximal signature case, and also work
of Stein and Bourgain--Guth, which treats the minimal signature case.

15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga