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...
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.
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.