Clifford-valued fractal interpolation

DOI10.1007/978-981-99-0597-3_4arXiv2112.04232OpenAlexW4380147771MaRDI QIDQ6117362

Peter R. Massopust

Publication date: 20 March 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.04232

zbMATH Keywords

Banach spaceClifford algebraClifford analysisfractal interpolationiterated function system (IFS)

Mathematics Subject Classification ID

Fractals (28A80) Clifford algebras, spinors (15A66)

Cites Work

• Constructive solutions for systems of iterative functional equations
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• On local fractal functions in Besov and Triebel-Lizorkin spaces
• Fractal functions and interpolation
• Fractal functions and their applications
• On operators and elementary functions in Clifford analysis
• Interpolation through an iterative scheme
• Compatibility conditions for systems of iterative functional equations with non-trivial contact sets
• Attractors of trees of maps and of sequences of maps between spaces with applications to subdivision
• Approximation of rough functions
• Non-stationary versions of fixed-point theory, with applications to fractals and subdivision
• Application of Holomorphic Functions in Two and Higher Dimensions
• Entire Slice Regular Functions
• Numerics and Fractals
• Local Fractal Functions and Function Spaces
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