P. G. Grinevich, R. G. Novikov, “Generalized Analytic Functions, Moutard-Type Transforms, and Holomorphic Maps”, Funktsional. Anal. i Prilozhen., 2016, Volume 50, Issue 2,Pages <nobr>81

This article is cited in 6 papers

Brief communications

Generalized Analytic Functions, Moutard-Type Transforms, and Holomorphic Maps

P. G. Grinevich^ab, R. G. Novikov^cd

^a L.D. Landau Institute for Theoretical Physics of Russian Academy of Sciences
^b Lomonosov Moscow State University
^c Centre de Mathématiques Appliquées, Ècole Polytechnique, France
^d Institute of Earthquake Prediction Theory and Mathematical Geophysics RAS

Abstract: We continue the study of a Moutard-type transform for generalized analytic functions, which was initiated in [GN]. 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.

Keywords: generalized analytic functions, spinors, Moutard transforms.

UDC: 517.54

Received: 01.12.2015

DOI: 10.4213/faa3237