Generalized analytic functions, Moutard-type transforms and holomorphic maps
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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2015
- DOI:
- arXiv:
- arXiv:1512.00343
- Bibcode:
- 2015arXiv151200343G
- Keywords:
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- Mathematics - Complex Variables;
- Mathematical Physics;
- Mathematics - Functional Analysis;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- LaTeX, 4 pages