Elettrodinamica sui frattali: rappresentazione di curve frattali ed equazioni integrali su domini frattali

This work presents a rigorous setting of integral equations on fractal wire antennas. The proposed approach is based on the extension of Iterated Function System theory to obtain a parametric representation of fractal curves with respect to a normalised curvilinear abscissa, and to define the tangential properties on almost everywhere nondifferentiable curves. Applications to direct and inverse problems of electrostatics and electrodynamics are reported.