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تسجيل مستخدم جديدMoutard transform for the generalized analytic functions
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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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271 -
P.G. Grinevich L.D. Landau Institute forn Theoretical Physics
, Lomonosov Moscow State University
2015
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.
68 -
P.G. Grinevich L.D. Landau Institute forn Theoretical Physics
, Lomonosov Moscow State University
2015
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
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