The generalized Riemann-Hilbert boundary value problem for non-homogeneous polyanalytic differential equation of order in the Sobolev space .
The Legendre Formula in Clifford Analysis
2000 Mathematics Subject Classification: 30A05, 33E05, 30G30, 30G35, 33E20.Let R0,2m+1 be the Clifford algebra of the antieuclidean 2m+1 dimensional space. The elliptic Cliffordian functions may be generated by the z2m+2 function, analogous to the well-known Weierstrass z-function. The latter satisfies a Legendre equality. We prove a corresponding formula at the level of the monogenic function Dm z2m+2.
The monogenic functional calculus
A study is made of a symmetric functional calculus for a system of bounded linear operators acting on a Banach space. Finite real linear combinations of the operators have real spectra, but the operators do not necessarily commute with each other. Analytic functions of the operators are formed by using functions taking their values in a Clifford algebra.
The p-adic differential equation y' = wy in the closed unit disk.
The range of vector valued holomorphic mappings
The solution of embedding problems in the framework of GAPs with applications on nonlinear PDEs.
Theorie de Nevanlinna p-adique.
Trace Theorems for Regular Functions of Several Quaternion.
Transformations de Marcel Riesz
Twistor transforms of quaternionic functions and orthogonal complex structures
The theory of slice-regular functions of a quaternion variable is applied to the study of orthogonal complex structures on domains of . When is a symmetric slice domain, the twistor transform of such a function is a holomorphic curve in the Klein quadric. The case in which is the complement of a parabola is studied in detail and described by a rational quartic surface in the twistor space .
Two questions concerning vector-valued holomorphic functions
Uber die Explizit-losbaren Vekuaschen Differentialgleichungen
Über die -gleichungen
Über ein System partieller Differentialgleichungen und einen zugehörigen Bergman-Operator.
Über einen Satz von Walsh für pseudoanalytische Funktionen.
Über gewisse Vektorräume pseudoholomorpher Funktionen.
Über Integraltransformationen, die analytische Funktionen in Lösungen elliptischer Differentialgleichungssysteme überführen
Un invariant conforme -adique
Un invariant conforme -adique
Un théorème de Mittag-Leffler pour les fonctions méromorphes sur un corps valué au sens de Krull