Prolongement analytique en analyse -adique
Prolongement d'une série entière dont le disque de convergence est fermé
Quadratic harmonic morphisms and O-systems
We introduce O-systems (Definition 3.1) of orthogonal transformations of , and establish correspondences both between equivalence classes of Clifford systems and those of O-systems, and between O-systems and orthogonal multiplications of the form , which allow us to solve the existence problems both for -systems and for umbilical quadratic harmonic morphisms simultaneously. The existence problem for general quadratic harmonic morphisms is then solved by the Splitting Lemma. We also study properties...
Quasi-isometric vector bundles and bounded factorization of holomorphic matrices
We give a sufficient condition for a hermitian holomorphic vector bundle over the disk to be quasi-isometric to the trivial bundle. One consequence is a version of Cartan's lemma on the factorization of matrices with uniform bounds.
Randwertaufgabe von Hilbert-Typus fur die p-analytischen Funktionen und die Methode der Fourier-Schen Transformation
Randwertaufgabe von Riemann-typus für die p-polyanalytischen Funktionen auf der spiralformigen Kontur
Rapports de produits croulants
Rarita-Schwinger type operators on spheres and real projective space
In this paper we deal with Rarita-Schwinger type operators on spheres and real projective space. First we define the spherical Rarita-Schwinger type operators and construct their fundamental solutions. Then we establish that the projection operators appearing in the spherical Rarita-Schwinger type operators and the spherical Rarita-Schwinger type equations are conformally invariant under the Cayley transformation. Further, we obtain some basic integral formulas related to the spherical Rarita-Schwinger...
Real and complex fundamental solutions. A way for unifying mathematical analysis.
Reciprocity laws on curves
Reduction of a Schwartz-type boundary value problem for biharmonic monogenic functions to Fredholm integral equations
We consider a commutative algebra over the field of complex numbers with a basis e1, e2 satisfying the conditions [...] (e12+e22)2=0,e12+e22≠0. Let D be a bounded simply-connected domain in ℝ2. We consider (1-4)-problem for monogenic -valued functions Φ(xe1 + ye2) = U1(x, y)e1 + U2(x, y)i e1 + U3(x, y)e2 + U4(x, y)i e2 having the classic derivative in the domain Dζ = xe1 + ye2 : (x, y) ∈ D: to find a monogenic in Dζ function Φ, which is continuously extended to the boundary ∂Dζ, when values of...
Regular functions of complex quaternionic variable
Regular functions over conformal quaternionic manifolds
Relations between the boundary values and periods for generalized analytic functions in
Removable singularities and Liouville-type property of analytic multivalued functions
Representations of automorphisms on differentials of function fields of characteristic p.
Resolvent conditions and powers of operators
We discuss the relation between the growth of the resolvent near the unit circle and bounds for the powers of the operator. Resolvent conditions like those of Ritt and Kreiss are combined with growth conditions measuring the resolvent as a meromorphic function.
Riemann boundary value problem for hyperanalytic functions.
Schwarz-sche Randwertaufgabe fur eine Klasse der verallgemeinerten analytischen Funktionen
Solutions of the generalized Dirichlet problem for the iterated slice Dirac equation
Applying the method of normalized systems of functions we construct solutions of the generalized Dirichlet problem for the iterated slice Dirac operator in Clifford analysis. This problem is a natural generalization of the Dirichlet problem.