Fourier integrals and a new representation of Maslov's canonical operator near caustics
arXiv:1307.2292
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.
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