Complexité et géométrie réelle
Condition polynomiale de Leja et L-régularité dans
Continuation of holomorphic functions with growth conditions and some of its applications
We prove a generalization of the well-known Hörmander theorem on continuation of holomorphic functions with growth conditions from complex planes in into the whole . We apply this result to construct special families of entire functions playing an important role in convolution equations, interpolation and extension of infinitely differentiable functions from closed sets. These families, in their turn, are used to study optimal or canonical, in a certain sense, weight sequences defining inductive...
Critère de reconnaissabilité de fonctions analytiques et fonctions entières arithmétiques