Non-Holomorphic Harmonic morhpisms form Kähler manifolds.
We present several characterizations and representations of semi-complete vector fields on the open unit balls in complex Euclidean and Hilbert spaces.
Nous donnons une condition nécessaire et suffisante pour qu’une fonction complexe de classe , définie sur une variété et admettant localement une racine -ième de classe , soit globalement puissance -ième d’une fonction .
The main result of this paper is the following: if the Weierstrass division theorem is valid in a quasianalytic differentiable system, then this system is contained in the system of analytic germs. This result has already been known for particular examples, such as the quasianalytic Denjoy-Carleman classes.