Moutard transform approach to generalized analytic functions with contour poles
Complex Variables
2018-05-01 v1 Mathematical Physics
Functional Analysis
math.MP
Exactly Solvable and Integrable Systems
Abstract
We continue studies of Moutard-type transforms for the generalized analytic functions started in arXiv:1510.08764, arXiv:1512.00343. In particular, we show that generalized analytic functions with the simplest contour poles can be Moutard transformed to the regular ones, at least, locally. In addition, the later Moutard-type transforms are locally invertible.
Keywords
Cite
@article{arxiv.1512.08874,
title = {Moutard transform approach to generalized analytic functions with contour poles},
author = {P. G. Grinevich and R. G. Novikov},
journal= {arXiv preprint arXiv:1512.08874},
year = {2018}
}
Comments
LaTeX, 22 pages