Email this article Generalized analytic functions, Moutard-type transforms, and holomorphic maps
- Authors: Grinevich P.G.1,2, Novikov R.G.3
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Affiliations:
- L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
- M. V. Lomonosov Moscow State University
- Centre de Mathématiques Appliquées, École Polytechnique, France Institute of Earthquake Prediction Theory and Mathematical Geophysics, Russian Academy of Sciences
- Issue: Vol 50, No 2 (2016)
- Pages: 150-152
- Section: Article
- URL: https://journals.rcsi.science/0016-2663/article/view/234184
- DOI: https://doi.org/10.1007/s10688-016-0140-5
- ID: 234184
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Abstract
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.
About the authors
P. G. Grinevich
L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences; M. V. Lomonosov Moscow State University
Author for correspondence.
Email: pgg@landau.ac.ru
Russian Federation, Chernogolovka; Moscow
R. G. 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
Russian Federation, Moscow
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