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.
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P. G. Grinevich and R. G. Novikov, J. Geom. Anal., DOI 10.1007/s12220–015-9657–8.
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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 50, No. 2, pp. 81–84, 2016
Original Russian Text Copyright © by P. G. Grinevich and R. G. Novikov
The main part of this work was performed during the visit of the first author to IHES, France, in November 2015. The first author was partially supported by the Russian Foundation for Basic Research, grant 13-01-12469 ofi-m2 and by the RAS program “Fundamental problems of nonlinear dynamics.”
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Grinevich, P.G., Novikov, R.G. Generalized analytic functions, Moutard-type transforms, and holomorphic maps. Funct Anal Its Appl 50, 150–152 (2016). https://doi.org/10.1007/s10688-016-0140-5
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DOI: https://doi.org/10.1007/s10688-016-0140-5