Publications Repository - Gdańsk University of Technology

Fractals equipped with intrinsic arithmetic lead to a natural definition of differentiation, integration, and complex structure. Applying the formalism to the problem of a Fourier transform on fractals we show that the resulting transform has all the required basic properties. As an example we discuss a sawtooth signal on the ternary middle-third Cantor set. The formalism works also for fractals that are not self-similar.

Authors

• Diederik Aerts,
• prof. dr hab. Marek Czachor link open in new tab ,
• dr Maciej Kuna link open in new tab