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

P. G. Grinevich; R. G. Novikov

doi:10.1007/s10688-016-0140-5

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

P. G. Grinevich
, R. G. Novikov

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	150-152
Number of pages	3
Journal	Functional Analysis and its Applications
Volume	50
Issue number	2
DOIs	https://doi.org/10.1007/s10688-016-0140-5
Publication status	Published - 1 Apr 2016
Externally published	Yes

Keywords

Moutard transforms
generalized analytic functions
spinors

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10.1007/s10688-016-0140-5

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title = "Generalized analytic functions, Moutard-type transforms, and holomorphic maps",

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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AU - Novikov, R. G.

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AB - 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.

KW - Moutard transforms

KW - generalized analytic functions

KW - spinors

U2 - 10.1007/s10688-016-0140-5

DO - 10.1007/s10688-016-0140-5

M3 - Article

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JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

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

Abstract

Keywords

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