Telecommunications and Radio Engineering

ISSN for PRINT: 0040-2508

For Online Access

Best Paper Award Selection - Editorial Board Site

2001, Volume56

Issue 6&7

180 pages

Issue price - $394.00

Victor Filippovich Kravchenko
Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow, Russia

Aleksander Alekseevich Potapov
Dr. Sci. (Phys.-Math.), Professor, Leading Researcher at the IRE of the RAS, Russia

Vladimir Mikhailovich Masyuk
Post-graduate student at the Chair "Higher Mathematics " of the Bauman MSTU, Russia

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.

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