Cauchy integral formulas for complex functions
Cauchy-Szegö integrals for systems of harmonic functions
Circulant preconditioners for convolution-like integral equations with higher-order quadrature rules.
Classical PLS-spaces: spaces of distributions, real analytic functions and their relatives
This paper is an extended version of an invited talk presented during the Orlicz Centenary Conference (Poznań, 2003). It contains a brief survey of applications to classical problems of analysis of the theory of the so-called PLS-spaces (in particular, spaces of distributions and real analytic functions). Sequential representations of the spaces and the theory of the functor Proj¹ are applied to questions like solvability of linear partial differential equations, existence of a solution depending...
Collocation methods for Cauchy singular integral equations on the interval.
Conical diffraction by multilayer gratings: A recursive integral equation approach
The paper is devoted to an integral equation algorithm for studying the scattering of plane waves by multilayer diffraction gratings under oblique incidence. The scattering problem is described by a system of Helmholtz equations with piecewise constant coefficients in coupled by special transmission conditions at the interfaces between different layers. Boundary integral methods lead to a system of singular integral equations, containing at least two equations for each interface. To deal with...
Continuation of holomorphic solutions to convolution equations in complex domains
For an analytic functional on , we study the homogeneous convolution equation S * f = 0 with the holomorphic function f defined on an open set in . We determine the directions in which every solution can be continued analytically, by using the characteristic set.
Continuité sur les espaces de Hölder et de Sobolev des opérateurs définis par des intégrales singulières
Convergence of cubature-differences method for multidimensional singular integro-differential equations
Convolution operators on expanding polyhedra: limits of the norms of inverse operators and pseudospectra.
Cooling of a layered plate under mixed conditions.
Cooling of a plate with general boundary conditions.