Close-to-optimal bounds for loop approximation

DOI10.1016/J.JAT.2010.04.006zbMath1206.41012OpenAlexW1999287372MaRDI QIDQ606662

Peter Oswald, Tatiana Shingel

Publication date: 18 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.jat.2010.04.006

zbMATH Keywords

splitting methodsloop groupsJackson-type estimatesnonlinearly constrained approximationparaunitary FIR filters

Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Approximation with constraints (41A29) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

Trigonometric approximation of \(\mathrm{SO}(N)\) loops

Cites Work

• Splitting methods for SU\((N)\) loop approximation
• Hermite interpolation in loop groups and conjugate quadrature filter approximation
• Splitting methods
• Decomposition formulas of exponential operators and Lie exponentials with some applications to quantum mechanics and statistical physics
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