Shatalov-Sternin's construction of complex WKB solutions and the associated Riemann surface
Classical Analysis and ODEs
2011-11-04 v4
Abstract
We re-examine Shatalov-Sternin's proof of existence of resurgent solutions of a linear ODE. In particular, we take a closer look at the "Riemann surface" (actually, a two-dimensional complex manifold) whose existence, endless continuability and other properties are claimed by those authors. We present a detailed argument for a part of the "Riemann surface" most relevant for the exact WKB method.
Keywords
Cite
@article{arxiv.0907.2934,
title = {Shatalov-Sternin's construction of complex WKB solutions and the associated Riemann surface},
author = {Alexander Getmanenko},
journal= {arXiv preprint arXiv:0907.2934},
year = {2011}
}
Comments
exposition improved, typos corrected