On a problem of linear conjugation in the case of nonsmooth lines and some measurable coefficients.
On a representation of the derivative of a conformal mapping.
On a residue of complex functions in the three-dimensional Euclidean complex vector space.
On a variational approach to truncated problems of moments
We characterize the existence of the solutions of the truncated moments problem in several real variables on unbounded supports by the existence of the maximum of certain concave Lagrangian functions. A natural regularity assumption on the support is required.
On an approximation processes in the space of analytical functions
In this paper we obtain various approximation theorems by means of k-positive linear operators defined on the space of all analytic functions on a bounded domain of the complex plane.
On applicability of the projection method to two-dimensional Toeplitz operators with measurable symbol.
On approximation and interpolation of entire functions with index-pair (p,q).
In this paper we have studied the Chebyshev and interpolation errors for functions in C(E), the normed algebra of analytic functions on a compact set E of positive transfinite diameter. The (p,q)-order and generalized (p,q)-type have been characterized in terms of these approximation errors. Finally, we have obtained a saturation theorem for f ∈ C(E) which can be extended to an entire function of (p,q)-order 0 or 1 and for entire functions of minimal generalized (p,q)-type.
On boundary behavior of Cauchy integrals
In this paper, we shall estimate the growth order of the n-th derivative Cauchy integrals at a point in terms of the distance between the point and the boundary of the domain. By using the estimate, we shall generalize Plemelj-Sokthoski theorem. We also consider the boundary behavior of generalized Cauchy integrals on compact bordered Riemann surfaces.
On Bounded Holomorphic Interpolation in Several Variables.
On Clenshaws's Method and a Generalisation to Faber Series.
On completeness with respect to a Carathéodory-like metric
On Convergence and Quasiregularity of Interpolating Complex Planar Splines.
On defining the generalized functions and .
On families of Cauchy transformations.
On global smoothness preservation in complex approximation
By using the properties of convergence and global smoothness preservation of multivariate Weierstrass singular integrals, we establish multivariate complex Carleman type approximation results with rates. Here the approximants fulfill the global smoothness preservation property. Furthermore Mergelyan's theorem for the unit disc is strengthened by proving the global smoothness preservation property.
On growth of polynomials.
On interpolation and sampling in Hilbert spaces of analytic functions.
On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical
We consider a certain analog of Cauchy type integral taking values in a three-dimensional harmonic algebra with two-dimensional radical. We establish sufficient conditions for an existence of limiting values of this integral on the curve of integration.
On meromorphic equivalence of linear difference operators
We consider linear difference equations whose coefficients are meromorphic at . We characterize the meromorphic equivalence classes of such equations by means of a system of meromorphic invariants. Using an approach inspired by the work of G. D. Birkhoff we show that this system is free.
On modified asymptotic series involving confluent hypergeometric functions.