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Funktsional'nyi Analiz i ego Prilozheniya, 2016, Volume 50, Issue 2, Pages 81–84
DOI: https://doi.org/10.4213/faa3237 (Mi faa3237) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Brief communications

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

P. G. Grinevichab, R. G. Novikovcd

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
Full-text PDF (159 kB) Citations (6)
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DOI: https://doi.org/10.4213/faa3237
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.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-12469 офи-м2
Russian Academy of Sciences - Federal Agency for Scientific Organizations
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."
Received: 01.12.2015
English version:
Functional Analysis and Its Applications, 2016, Volume 50, Issue 2, Pages 150–152
DOI: https://doi.org/10.1007/s10688-016-0140-5
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: P. G. Grinevich, R. G. Novikov, “Generalized Analytic Functions, Moutard-Type Transforms, and Holomorphic Maps”, Funktsional. Anal. i Prilozhen., 50:2 (2016), 81–84; Funct. Anal. Appl., 50:2 (2016), 150–152
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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