Global L2-Boundedness Theorems for Semiclassical Fourier Integral Operators with Complex Phase
Mathematical Physics
2011-11-10 v3 Functional Analysis
math.MP
Abstract
In this work, a class of semiclassical Fourier Integral Operators (FIOs) with complex phase associated to some canonical transformation of the phase space is constructed. Upon some general boundedness assumptions on the symbol and the canonical transformation, their continuity (as operators) from the Schwartz class into itself and from into itself are proven.
Cite
@article{arxiv.0710.4200,
title = {Global L2-Boundedness Theorems for Semiclassical Fourier Integral Operators with Complex Phase},
author = {Vidian Rousse and Torben Swart},
journal= {arXiv preprint arXiv:0710.4200},
year = {2011}
}
Comments
29 pages