000			01576 a2200265 4500
005			20190618131818.0
008			190612b xxu||||| |||| 00| 0 eng d
020			_a9783030043056
040			_cIIT Kanpur
041			_aeng
082			_a515.786 _bN917
245			_aNumerical fourier analysis _cedited by Gerlind Plonka ...[et al.]
260			_bBirkhauser _bSpringer _c2018 _aSwitzerland
300			_axvi, 618p
440			_aApplied and numerical harmonic analysis
490			_a / edited by John J. Benedetto
520			_aThis 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.
650			_aNumerical analysis
650			_aHarmonic analysis
700			_aPlonka, Gerlind [ed.]
700			_a Potts, Daniel [ed.]
700			_aSteidl, Gabriele [ed.]
700			_aTasche, Manfred [ed.]
942			_cBK
999			_c560346 _d560346