%0 Journal Article %A Kravchenko, Victor Filippovich %A Potapov, Aleksander Alekseevich %A Masyuk, Vladimir Mikhailovich %D 2001 %I Begell House %N 6&7 %P 51 %R 10.1615/TelecomRadEng.v56.i6-7.20 %T Atomic-fractal Functions in Problems of Antenna Synthesis %U https://www.dl.begellhouse.com/journals/0632a9d54950b268,6db5a027711f8c29,7366121b3a80d9b8.html %V 56 %X ABSTRACT: Foundations of measure theory, the Hausdorff-Besicovitch measure, fractal nowhere differentiable Boltzano, Van-der-Waerden, and Besicovitch functions, and also some atomic functions possessing fractal properties are considered. For the first time, the atomic-fractal functions are constructed. The theory proposed and justified is illustrated on problems of synthesis of fractal radiating structures by means of modeling the corresponding physical processes. %8 2001-07-20