Fractal-Based Methods in Analysis

1. What do we mean by “Fractal-Based Analysis”?
Herb Kunze, Davide La Torre, Franklin Mendivil, Edward R. Vrscay

2. Basic IFS Theory
Herb Kunze, Davide La Torre, Franklin Mendivil, Edward R. Vrscay

3. IFS on Spaces of Functions
Herb Kunze, Davide La Torre, Franklin Mendivil, Edward R. Vrscay

4. Iterated Function Systems, Multifunctions, and Measure-Valued Functions
Herb Kunze, Davide La Torre, Franklin Mendivil, Edward R. Vrscay

5. IFS on Spaces of Measures
Herb Kunze, Davide La Torre, Franklin Mendivil, Edward R. Vrscay

6. The Chaos Game
Herb Kunze, Davide La Torre, Franklin Mendivil, Edward R. Vrscay

7. Inverse Problems and Fractal-Based Methods
Herb Kunze, Davide La Torre, Franklin Mendivil, Edward R. Vrscay

8. Further Developments and Extensions
Herb Kunze, Davide La Torre, Franklin Mendivil, Edward R. Vrscay

Keywords: Mathematics, Dynamical Systems and Ergodic Theory, Mathematical Methods in Physics, Approximations and Expansions, Mathematical Modeling and Industrial Mathematics, Ordinary Differential Equations