Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gabor representations of evolution operators   We perform a time-frequency analysis of Fourier multipliers and, more
generally, pseudodifferential operators with symbols of Gevrey, analytic and
ultra-analytic regularity. As an application we show that Gabor frames, which
provide optimally sparse decompositions for Schroedinger-type propagators,
reveal to be an even more efficient tool for representing solutions to a wide
class of evolution operators with constant coefficients, including weakly
hyperbolic and parabolic-type operators. Besides the class of operators, the
main novelty of the paper is the proof of super-exponential (as opposite to
super-polynomial) off-diagonal decay for the Gabor matrix representation.

24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg