Generalized analytic functions, Moutard-type transforms, and holomorphic maps


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We continue the study of a Moutard-type transform for generalized analytic functions, which was initiated in [1]. 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 such functions commute with holomorphic changes of variables.

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P. Grinevich

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences; M. V. Lomonosov Moscow State University

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Email: pgg@landau.ac.ru
俄罗斯联邦, Chernogolovka; Moscow

R. Novikov

Centre de Mathématiques Appliquées, École Polytechnique, France Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences

Email: pgg@landau.ac.ru
俄罗斯联邦, Moscow

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