Local Fractal Interpolation on Unbounded Domains

DOI10.1017/S0013091517000268zbMath1393.28009arXiv1508.03198OpenAlexW2964302437MaRDI QIDQ4608143

Peter R. Massopust

Publication date: 16 March 2018

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03198

zbMATH Keywords

attractorfractal functionfractal interpolationunbounded componentlocal iterated function systemRead-Bajraktarević operatorBochner-Lebesgue spacenon-compact Hausdorff space

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Function spaces arising in harmonic analysis (42B35) Interpolation in approximation theory (41A05) Fractals (28A80) Approximation by other special function classes (41A30)

Related Items (6)

Concerning the vector-valued fractal interpolation functions on the Sierpiński gasket ⋮ Generalized zipper fractal approximation and parameter identification problems ⋮ MULTIVARIATE AFFINE FRACTAL INTERPOLATION ⋮ Affine zipper fractal interpolation functions ⋮ FRACTAL INTERPOLATION ALGORITHMS FOR COMPLEX CURVES AND SURFACES ⋮ Fractal approximation of a function from a countable sample set and associated fractal operator

Cites Work

• On local fractal functions in Besov and Triebel-Lizorkin spaces
• Fractal functions and interpolation
• Fractal functions and their applications
• Fractal functions and wavelet expansions based on several scaling functions
• Bilinear fractal interpolation and box dimension
• Connectedness in topological linear spaces
• Numerics and Fractals
• Measures on Sigma-Compact Manifolds and their Equivalence Under Homeomorphisms
• Iterated function systems and the global construction of fractals
• Local Fractal Functions and Function Spaces
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