Moutard transform for the generalized analytic functions

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

arxiv: 1510.08764 · v1 · pith:VUEUW3XHnew · submitted 2015-10-29 · 🧮 math.AP · math-ph· math.CV· math.FA· math.MP· nlin.SI

Moutard transform for the generalized analytic functions

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

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keywords analyticfirstfunctionsgeneralizedtransformconnectionconstructexamples

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We construct a Moutard-type transform for the generalized analytic functions. The first theorems and the first explicit examples in this connection are given.

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Moutard transform for the generalized analytic functions

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