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Numerical fourier analysis

Contributor(s): Language: English Series: Applied and numerical harmonic analysis | / edited by John J. BenedettoPublication details: Birkhauser Springer 2018 SwitzerlandDescription: xvi, 618pISBN:
  • 9783030043056
Subject(s): DDC classification:
  • 515.786 N917
Summary: This book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function approximation using Fourier methods. It starts with a detailed discussion of classical Fourier theory to enable readers to grasp the construction and analysis of advanced fast Fourier algorithms introduced in the second part, such as nonequispaced and sparse FFTs in higher dimensions. Lastly, it contains a selection of numerical applications, including recent research results on nonlinear function approximation by exponential sums. The code of most of the presented algorithms is available in the authors’ public domain software packages. Students and researchers alike benefit from this unified presentation of Fourier theory and corresponding algorithms.
List(s) this item appears in: New arrival June 10 to 16, 2019
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Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
Books Books PK Kelkar Library, IIT Kanpur General Stacks 515.786 N917 (Browse shelf(Opens below)) Checked out to Prakash Nainwal (S1910827300) 19/07/2025 A184441
Total holds: 0

This book offers a unified presentation of Fourier theory and corresponding algorithms emerging from new developments in function approximation using Fourier methods.

It starts with a detailed discussion of classical Fourier theory to enable readers to grasp the construction and analysis of advanced fast Fourier algorithms introduced in the second part, such as nonequispaced and sparse FFTs in higher dimensions.

Lastly, it contains a selection of numerical applications, including recent research results on nonlinear function approximation by exponential sums.

The code of most of the presented algorithms is available in the authors’ public domain software packages.

Students and researchers alike benefit from this unified presentation of Fourier theory and corresponding algorithms.

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