Shatalov-Sternin's construction of complex WKB solutions and the associated Riemann surface

Details Shatalov-Sternin's construction of complex WKB solutions and the associated Riemann surface Shatalov-Sternin's construction of complex WKB solutions and the associated Riemann surface

2009-07-16

arxiv.org/abs/0907.2934v4

Mathematics

Classical Analysis and ODEs

exposition improved, typos corrected

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Shatalov-Sternin's construction of complex WKB solutions and the associated Riemann surface does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Shatalov-Sternin's construction of complex WKB solutions and the associated Riemann surface, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Shatalov-Sternin's construction of complex WKB solutions and the associated Riemann surface will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-109775