Moutard transform for the generalized analytic functions

Piotr Grinevich (1) , Roman Novikov (2)

1 L.D. Landau Institute for Theoretical Physics of RAS
2 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

We construct a Moutard-type transform for the generalized analytic functions. The first theorems and the first explicit examples in this connection are given.

Domaines: Mathématiques [math]; Equations aux dérivées partielles [math.AP]; Variables complexes [math.CV]

Piotr Grinevich, Roman Novikov. Moutard transform for the generalized analytic functions. Journal of Geometric Analysis, 2016, 26 (4), pp.2984-2995. ⟨hal-01222481⟩