Moutard transform approach to generalized analytic functions with contour poles
arXiv:1512.08874 · doi:10.1016/j.bulsci.2016.01.003
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.
LaTeX, 22 pages