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math-ph2011
Microlocal properties of sheaves and complex WKB
Alexander Getmanenko, Dmitry Tamarkin
Kashiwara-Schapira style sheaf theory is used to justify analytic continuability of solutions of a Laplace transformed Schroedinger equation with a small parameter. This partially…
math.CA2011
Shatalov-Sternin's construction of complex WKB solutions and the choice of integration paths
Alexander Getmanenko
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-dimension…