Moutard transform approach to generalized analytic functions with contour poles

P. G. Grinevich; R. G. Novikov

doi:10.1016/j.bulsci.2016.01.003

Moutard transform approach to generalized analytic functions with contour poles

P. G. Grinevich
, R. G. Novikov

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

Abstract

We show that local studies of generalized analytic functions with the simplest contour poles are reduced to the regular case via simple Moutard-type transforms. This work continues studies of [13,14].

Original language	English
Pages (from-to)	638-656
Number of pages	19
Journal	Bulletin des Sciences Mathematiques
Volume	140
Issue number	6
DOIs	https://doi.org/10.1016/j.bulsci.2016.01.003
Publication status	Published - 1 Sept 2016

Keywords

Contour poles
Generalized analytic functions
Moutard-type transforms

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10.1016/j.bulsci.2016.01.003

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title = "Moutard transform approach to generalized analytic functions with contour poles",

abstract = "We show that local studies of generalized analytic functions with the simplest contour poles are reduced to the regular case via simple Moutard-type transforms. This work continues studies of [13,14].",

keywords = "Contour poles, Generalized analytic functions, Moutard-type transforms",

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AU - Novikov, R. G.

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N2 - We show that local studies of generalized analytic functions with the simplest contour poles are reduced to the regular case via simple Moutard-type transforms. This work continues studies of [13,14].

AB - We show that local studies of generalized analytic functions with the simplest contour poles are reduced to the regular case via simple Moutard-type transforms. This work continues studies of [13,14].

KW - Contour poles

KW - Generalized analytic functions

KW - Moutard-type transforms

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SP - 638

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JO - Bulletin des Sciences Mathematiques

JF - Bulletin des Sciences Mathematiques

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ER -

Moutard transform approach to generalized analytic functions with contour poles

Abstract

Keywords

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