Generalized analytic functions, Moutard-type transforms and holomorphic maps

Abstract : We continue the studies of Moutard-type transforms for generalized analytic functions started in our previous paper hal-01222481v1 . 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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Contributor : Roman Novikov <>
Submitted on : Thursday, November 26, 2015 - 9:20:40 AM
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  • HAL Id : hal-01234004, version 1

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Piotr Grinevich, Roman Novikov. Generalized analytic functions, Moutard-type transforms and holomorphic maps. Functional Analysis and Its Applications, Springer Verlag, 2016, 50 (2), pp.150-152. ⟨hal-01234004⟩

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