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arXiv · 1512.08874

Moutard transform approach to generalized analytic functions with contour poles

P. G. Grinevich·R. G. Novikov
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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.

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P. G. Grinevich, R. G. Novikov. 2015-12-30. Moutard transform approach to generalized analytic functions with contour poles. https://doi.org/10.1016/j.bulsci.2016.01.003

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