-harmonic equations and the Dirac operator.
A homogeneous Dirichlet problem for a nonlinear partial differential equation in an anisotropic Sobolec space.
A uniqueness theorem for monogenic functions.
Algebras of generalized analytic functions
Analytic roots of invertible matrix functions.
Bourgain algebras of G-disc algebras
Brownian motion and generalized analytic and inner functions
Let be a mapping from an open set in into , with . To say that preserves Brownian motion, up to a random change of clock, means that is harmonic and that its tangent linear mapping in proportional to a co-isometry. In the case , , such conditions signify that corresponds to an analytic function of one complex variable. We study, essentially that case , , in which we prove in particular that such a mapping cannot be “inner” if it is not trivial. A similar result for , would solve...
Cluster sets of analytic multivalued functions
Classical theorems about the cluster sets of holomorphic functions on the unit disc are extended to the more general setting of analytic multivalued functions, and examples are given to show that these extensions cannot be improved.
Common multiples of operator polynomials with analytic coefficients.
Complex interpolation for Banach spaces
Décomposition en éléments simples d'une fonction analytique sur un corps ultramétrique. Application au prolongement analytique
Distribution des valeurs des fonctions analytiques multiformes
Eine lineare Interpolationsaufgabe vom Gontcharoffschen Typ für ganze Funktionen mit Werten in einem komplexen Banachraum.
Entire functions of bounded index over non-Archimedean field
Finely holomorphic functions and finely harmonic morphisms.
Fonctions presque holomorphes
Function theory for a Beltrami algebra.
Gewichtete Räume stetiger vektorwertiger Funktionen und das injektive Tensorprodukt. II.
Growth of operator valued meromorphic functions.
H-holomorfne funkcije