Fourier integrals and a new representation of Maslov's canonical operator near caustics
Mathematical Physics
2013-07-10 v1 Analysis of PDEs
math.MP
Abstract
We suggest a new representation of Maslov's canonical operator in a neighborhood of the caustics using a special class of coordinate systems ("eikonal coordinates") on Lagrangian manifolds.
Keywords
Cite
@article{arxiv.1307.2292,
title = {Fourier integrals and a new representation of Maslov's canonical operator near caustics},
author = {S. Yu. Dobrokhotov and G. Makrakis and V. E. Nazaikinskii},
journal= {arXiv preprint arXiv:1307.2292},
year = {2013}
}
Comments
19 pages. Submitted to the Proceedings of the International Conference "Spectral Theory and Differential Equations (STDE-2012)" in honor of Vladimir A. Marchenko's 90th birthday, to be published by the AMS