Tetrational as special function.
The analytic -capacity and the Cauchy integral
The approximation of a polynomial's measure, with applications towards Jensen's theorem.
The Bergman and Schiffer transforms on weighted norm spaces
The Cauchy integral along -rectifiable curves.
The Cauchy Kernel, the Szegö Kernel, and the Riemann Mapping Function.
The Cauchy type integral
The class of holomorphic functions representable by Carleman formula
The classical and the modified Neumann problems for the inhomogeneous pluriholomorphic system in polydiscs.
The construction of a function given by moments. (La construction de quelque fonction par des moments donnés.)
The Degree of Approximation by Rational Functions with Fixed Poles.
The degree of convergence for entire functions of slow growth
The Dirichlet problem for harmonic functions with boundary values from Zygmund classes.
The Dirichlet space: a survey.
The dynamical motion of the zeros of the partial sums of , and its relationship to discrepancy theory.
The Euler Maclaurin Expansion for the Cauchy Principal Value Integral.
The Extreme Points of a Class of Functions with Positive Real Part.
The fall of the doubling condition in Calderón-Zygmund theory.
The most important results of standard Calderón-Zygmund theory have recently been extended to very general non-homogeneous contexts. In this survey paper we describe these extensions and their striking applications to removability problems for bounded analytic functions. We also discuss some of the techniques that allow us to dispense with the doubling condition in dealing with singular integrals. Special attention is paid to the Cauchy Integral.[Proceedings of the 6th International Conference on...
The fundamental -form and global relations.
The general complex case of the Bernstein-Nachbin approximation problem
We present a solution to the (strict) Bernstein-Nachbin approximation problem in the general complex case. As a corollary, we get proofs of the analytic, the quasi-analytic, and the bounded criteria for localizability in the general complex case. This generalizes the known results of the real or self-adjoint complex cases, in the same way that Bishop’s Theorem generalizes the Weierstrass-Stone Theorem. However, even in the real or self-adjoint complex cases, the results that we obtain are stronger...