V.F. Kravchenko and V.M. Masyuk (Russia)
: fractals; antenna arrays; antenna theory; antenna radiation patterns; atomic functions.
Foundations of measure theory, the Hausdorff-Besicovitch measure, fractal nowhere differentiable Boltzano, Weierstrass, Cantor, Riemann, Darboux, Van-der-Waerden, Koch, Sierpinski, Besicovitch, and Weierstrass-Mandelbrot functions, and also some atomic functions possessing fractal properties are considered. For the first time, the atomic-fractal functions (AFF) 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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