Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8254614 | Chaos, Solitons & Fractals | 2016 | 8 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Diederik Aerts, Marek Czachor, Maciej Kuna,