New class of atomic-fractal functions and their applications

摘要

For the first time, some problems connected with methods of fractal approximation [1-7] with the use of atomic functions [8-9] are considered in this report. The work consists of four main parts. In the first one the basic description on the theory of fractal measure and fractal nowhere differentiable functions are presented. The second part is devoted to main classes of atomic functions. Different combinations of atomic-fractal functions are discussed in the third part. Finally, examples of atomic-fractal antenna synthesis in the millimeter waveband are demonstrated.