Fast NFFT based summation of radial functions

Fenn, Markus ; Steidl, Gabriele

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URN: urn:nbn:de:bsz:180-madoc-17349
Document Type: Working paper
Year of publication: 2003
The title of a journal, publication series: None
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Classification: MSC: 65F30 65T50 65T40 ,
Subject headings (SWD): Schnelle Fourier-Transformation , Knoten <Mathematik>
Keywords (English): fast discrete summation , fast Fourier transform at nonequispaced knots , generalized multiquadric
Abstract: This paper is concerned with the fast summation of radial functions by the fast Fourier transform for nonequispaced data. We enhance the fast summation algorithm proposed in [20] by introducing a new regularization procedure based on the two-point Taylor interpolation by algebraic polynomials and estimate the corresponding approximation error. Our error estimates are more sophisticated than those in [20]. Beyond the kernels K&#946;(&#967;)
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