On spaces of fractal functions
Copyright policy )On spaces of fractal functions
Summary: We introduce linear spaces consisting of continuous functions whose graphs are the attractors of a special class of iterated function systems. We show that such spaces are finite dimensional and give the bases of these spaces in an implicit way. Given such a space, we discuss how to obtain a set of knots for which the Lagrange interpolation problem by the space is uniquely solvable.
- Dalian University China (People's Republic of)
- Dalian Polytechnic University China (People's Republic of)
Knots and links in high dimensions (PL-topology), knots, Attractors and repellers of smooth dynamical systems and their topological structure, iterated function systems, Topological dynamics, Lagrange interpolation problem
Knots and links in high dimensions (PL-topology), knots, Attractors and repellers of smooth dynamical systems and their topological structure, iterated function systems, Topological dynamics, Lagrange interpolation problem
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