Generalized Analytic Functions, Moutard-Type Transforms, and Holomorphic Maps
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 2, pp. 81-84
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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.
@article{FAA_2016_50_2_a6,
author = {P. G. Grinevich and R. G. Novikov},
title = {Generalized {Analytic} {Functions,} {Moutard-Type} {Transforms,} and {Holomorphic} {Maps}},
journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
pages = {81--84},
publisher = {mathdoc},
volume = {50},
number = {2},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FAA_2016_50_2_a6/}
}
TY - JOUR AU - P. G. Grinevich AU - R. G. Novikov TI - Generalized Analytic Functions, Moutard-Type Transforms, and Holomorphic Maps JO - Funkcionalʹnyj analiz i ego priloženiâ PY - 2016 SP - 81 EP - 84 VL - 50 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FAA_2016_50_2_a6/ LA - ru ID - FAA_2016_50_2_a6 ER -
P. G. Grinevich; R. G. Novikov. Generalized Analytic Functions, Moutard-Type Transforms, and Holomorphic Maps. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 2, pp. 81-84. http://geodesic.mathdoc.fr/item/FAA_2016_50_2_a6/