Continuity on the Boundary and Analytic Continuation of Continued Fractions.
Continuous dependence of holomorphic functions on partly given boundary values
Convergence of Product Formulas for the Numerical Evaluation of Certain Two-Dimensional Cauchy Principal Value Integrals.
Correction to the paper “Continuous dependence of holomorphic functions on partly given boundary values”
Difference equations for functions analytic beyond several squares.
Differential subordination and superordination of analytic functions defined by certain integral operator.
Ein Funktionalanalytischer Beweis des Satzes von Cauchy-Kowalewsky.
Estimation d'opérateurs intégraux du type de Cauchy dans les échelles d'Ovsjannikov et application
On établit des estimations de l’intégrale singulière de Cauchy et des opérateurs du potentiel dans des échelles d’Ovjannikov de fonctions analytiques. Ces estimations sont utilisées pour obtenir des résultats d’existence locale en temps de solutions analytiques pour certains problèmes à frontière libre dans le plan.
Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals.
Formes linéaires -adiques
Formules intégrales pour les formes différentielles de type dans les variétés de Stein
Function Algebras and Flows. III.
Fundamental solutions for Dirac-type operators
We consider the Dirac-type operators D + a, a is a paravector in the Clifford algebra. For this operator we state a Cauchy-Green formula in the spaces and . Further, we consider the Cauchy problem for this operator.
Further convergence results for two quadrature rules for Cauchy type principal value integrals
New convergence and rate-of-convergence results are established for two well-known quadrature rules for the numerical evaluation of Cauchy type principal value integrals along a finite interval, namely the Gauss quadrature rule and a similar interpolatory quadrature rule where the same nodes as in the Gauss rule are used. The main result concerns the convergence of the interpolatory rule for functions satisfying the Hölder condition with exponent less or equal to . The results obtained here supplement...
Geometric and approximation properties of some singular integrals in the unit disk.
Global geometric aspects of Riemann-Hilbert problems.
Green functions for killed random walks in the Weyl chamber of Sp(4)
We consider a family of random walks killed at the boundary of the Weyl chamber of the dual of Sp(4), which in addition satisfies the following property: for any n ≥ 3, there is in this family a walk associated with a reflection group of order 2n. Moreover, the case n = 4 corresponds to a process which appears naturally by studying quantum random walks on the dual of Sp(4). For all the processes belonging to this family, we find the exact asymptotic of the Green functions along all infinite paths...
Hurwitz analysis: basic concepts and connection with Clifford analysis
Integrál Cauchyův a Dirichletův problem v rovině
Integral repesentations and its applications in Clifford analysis.