Abstract:
In this work divergent trigonometric Fourier series of continuous functions are investigated.
Certain types of sets are determined which are sets of divergence, unbounded divergence and bounded divergence for Fourier series of continuous functions. From these results it follows that there exist sets of bounded divergence having Hausdorff dimension 1 and also sets having positive $\alpha$-capacity.
Bibliography: 19 titles.
Fulltext:
PDF file (1832 kB)
