Generalized analytic functions, Moutard-type transforms and holomorphic maps
Complex Variables
2018-05-01 v1 Mathematical Physics
Functional Analysis
math.MP
Exactly Solvable and Integrable Systems
Abstract
We continue the studies of Moutard-type transform for generalized analytic functions started in our previous paper: arXiv:1510.08764. 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 the aforementioned functions commute with holomorphic changes of variables.
Keywords
Cite
@article{arxiv.1512.00343,
title = {Generalized analytic functions, Moutard-type transforms and holomorphic maps},
author = {P. G. Grinevich and R. G. Novikov},
journal= {arXiv preprint arXiv:1512.00343},
year = {2018}
}
Comments
LaTeX, 4 pages