Titlebook: Numerical Fourier Analysis; Gerlind Plonka,Daniel Potts,Manfred Tasche Book 2023Latest edition The Editor(s) (if applicable) and The Autho

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Gerlind Plonka,Daniel Potts,Gabriele Steidl,Manfred Tasche

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Book 2023Latest edition-dimensional FFTs on special lattices, and sparse FFTs.  An additional chapter is devoted to discrete trigonometric transforms and Chebyshev expansions.  The final two chapters consider various applications of numerical Fourier methods for improved function approximation, including Prony methods for

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2296-5009 in numerical Fourier analysis.Explores application in signaNew technological innovations and advances in research in areas such as spectroscopy, computer tomography, signal processing, and data analysis require a deep understanding of function approximation using Fourier methods.  To address this g

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Fourier Transform,ned on the Banach space .. The main properties of the Fourier transform are handled, such as the Fourier inversion formula and the convolution property. Then, in Sect. 2.2, the Fourier transform is introduced as a bijective mapping of the Hilbert space . onto itself by the theorem of Plancherel. The