Generalized analytic functions, Moutard-type transforms and holomorphic maps

(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: 1512.00343 · v1 · pith:XQ7SJJMHnew · submitted 2015-11-25 · 🧮 math.CV · math-ph· math.FA· math.MP· nlin.SI

Generalized analytic functions, Moutard-type transforms and holomorphic maps

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 functionsanalyticgeneralizedmoutard-typeholomorphictransformsaforementionedapproach

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We continue the studies of Moutard-type transform for generalized analytic functions started in our previous paper: arXiv:1510.08764. In particular, we suggest an interpretation of generalized analytic functions as spinor fields and show that in the framework of this approach Moutard-type transforms for the aforementioned functions commute with holomorphic changes of variables.

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Generalized analytic functions, Moutard-type transforms and holomorphic maps

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