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Contents
Common terms and phrasesa-factor asymptotic basic Bessel functions coefficients computations condition continuous wavelet transform convergence cosine Courtesy Daubechies decaying Dirichlet kernel discrete wavelet discuss end points example exponential extremas Fejer averaging Figure finite Fourier analysis Fourier integral representation Fourier series Fourier transform Fourier-Bessel series function f(x functions with jump gate function Gegenbauer Gibbs overshoot Gibbs phe Gibbs phenomenon Gottlieb Hewitt and Hewitt interval ISBN jump discontinuity Karanikas Lanczos limit Math maximum overshoot method Mexican hat wavelet nomenon Nth partial sum orthogonal expansion oscillations overshoots and undershoots piecewise Pinsky Poisson wavelet polynomial expansion reducing the Gibbs result sawtooth function scaling function Section series expansion sgn(t shown in Fig signum function sine integral smooth spline square integrable square wave square wave function summability Tchebychev polynomials theorem tion transform representation trigonometric functions trigonometric polynomial truncated Fourier integral truncated Fourier series unit step function wavelet analysis wavelet ip(t Wilbraham's zero Popular passagesPage 288 - RG Cooke, Gibbs phenomenon in Fourier-Bessel series and integrals, Proc. London Math. Soc. (2) 27 (1928), 171. Page 293 - L. Fejér, Einige Sätze, die sich auf das Vorzeichen einer ganzen rationalen Funktion beziehen, Page 288 - Error Analysis in Application of Generalization of the Sampling Theorem - chapter 7 in Advanced Topics in Shannon Sampling and Interpolation Theory, RJ Marks II, editor, SpringerVerlag, 1992, References to this bookFrom other books
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