Composition and differentiation operators and fast approximation

DOI10.1016/j.jat.2011.09.007zbMath1292.47015OpenAlexW2035215602MaRDI QIDQ657436

Markus Nieß, Thomas Kalmes

Publication date: 16 January 2012

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2011.09.007

zbMATH Keywords

composition operatorsnormal familiesdifferentiation operatorFaber expansion

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Linear composition operators (47B33)

Cites Work

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• Common bounded universal functions for composition operators
• Universal functions for composition operators with non-automorphic symbol
• A proof of the Bieberbach conjecture
• Universal entire functions for affine endomorphisms of \(\mathbb C^N\)
• Approximation by antiderivatives
• Normal families
• The theory of functions. 2
• Cyclic phenomena for composition operators
• Universal zero solutions of linear partial differential operators
• Universal functions for composition operators
• Compositional universality in the N-dimensional ball

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