Moutard transform approach to generalized analytic functions with contour poles

(2) Centre de Math\'ematiques Appliqu\'ees; \'Ecole Polytechnique); Lomonosov Moscow State University; P.G. Grinevich (1); R.G. Novikov (2) ((1) L.D. Landau Institute for Theoretical Physics

arxiv: 1512.08874 · v1 · pith:RI5VYYCZnew · submitted 2015-12-30 · 🧮 math.CV · math-ph· math.FA· math.MP· nlin.SI

Moutard transform approach to generalized analytic functions with contour poles

P.G. Grinevich (1) , R.G. Novikov (2) ((1) L.D. Landau Institute for Theoretical Physics , Lomonosov Moscow State University , (2) Centre de Math\'ematiques Appliqu\'ees , \'Ecole Polytechnique) This is my paper

classification 🧮 math.CV math-phmath.FAmath.MPnlin.SI

keywords analyticfunctionsgeneralizedarxivcontourlocallymoutardmoutard-type

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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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Moutard transform approach to generalized analytic functions with contour poles

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