Przykłady ultradystrybucyjnych rozwiązań pasma płytowego

The paper presents the applications of Fourier transforms (generalized to the space of ultra-distributions) to the boundary value problems of the theory of plates. The approach presented is characterized, first of all, by a considerable generality and proves to be convenient even in the cases which may be solved by classical methods. The paper is aimed at demonstrating the effectiveness of the method in such classical cases. In particular, the examples prove that all the approximate methods of evaluation of Fourier integrals may be used much more rationally by applying the convolution theorem in the space of ultradistributions.