A characterization of lines among Lipschitz graphs.
A convergence theory of some methods of integration.
A distributional representation of strip analytic functions.
A general theory of integral transforms and its applications
A generalization of the residue formula.
A note on the solvability of homogeneous Riemann boundary problem with infinity index
In this note we establish a necessary and sufficient condition for solvability of the homogeneous Riemann boundary problem with infinity index on a rectifiable open curve. The index of the problem we deal with considers the influence of the requirement of the solutions of the problem, the degree of non-smoothness of the curve at the endpoints as well as the behavior of the coefficient at these points.
A Pick function related to an inequality for the entropy function.
A problem of linear conjugation for analytic functions with boundary values from the Zygmund class.
A reducibility problem for the classical residue formula
A Sinc Quadrature Rule for Hadamard Finite-part Integrals.
A weak type inequality for Cauchy transforms of finite measures.
In this note we present a simple proof of a recent result of Mattila and Melnikov on the existence of limε→0 ∫|ζ-z|>ε (ζ - z)-1dμ(ζ) for finite Borel measures μ in the plane.
About the derivatives of Cauchy type integrals in the polydisc.
Absolutely continuous measures and compact composition operator on spaces of Cauchy transforms.
Absolutely continuous measures and compact composition operator on spaces of Cauchy transforms.
Aleksandrov-Clark measures and semigroups of analytic functions in the unit disc.
Algebras of Toeplitz operators with oscillating symbols.
This paper is devoted to Banach algebras generated by Toeplitz operators with strongly oscillating symbols, that is, with symbols of the form b[eia(x)] where b belongs to some algebra of functions on the unit circle and a is a fixed orientation-preserving homeomorphism of the real line onto itself. We prove the existence of certain interesting homomorphisms and establish conditions for the normal solvability, Fredholmness, and invertibility of operators in these algebras.
An equality for the curvature function of a simple and closed curve on the plane.
An exponential transform and regularity of free boundaries in two dimensions
An Extrapolation Method for the Quadrature of Functions with Singularities in the Vicinity of the Interval of Integration.
An Improved Calculation of the General Elliptic Integral of the Second Kind in the Neighbourhood of x= 0.