Rational approximation, oscillatory Cauchy integrals, and Fourier transforms

DOI10.1007/s00365-015-9294-2zbMath1337.30052arXiv1403.2378OpenAlexW1531895074MaRDI QIDQ5962917

Thomas Trogdon

Publication date: 25 February 2016

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2378

zbMATH Keywords

interpolationCauchy integralsrational approximation

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (2)

Multi-domain spectral approach for the Hilbert transform on the real line ⋮ On the application of GMRES to oscillatory singular integral equations

Uses Software

• DLMF

Cites Work

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• Computing the Hilbert transform and its inverse
• Fast Fourier Methods in Computational Complex Analysis
• Theoretical Numerical Analysis
• ORDER ESTIMATES OF DERIVATIVES OF THE MULTIDIMENSIONAL PERIODIC DIRICHLET $ \alpha$-KERNEL IN A MIXED NORM
• Computation of the Complex Error Function
• Computing the Hilbert Transform on the Real Line
• A Complete Orthonormal System of Functions in $L^2 ( - \infty ,\infty )$ Space

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