The Gibbs Phenomenon in Fourier Analysis, Splines and Wavelet ApproximationsThis book represents the first attempt at a unified picture for the pres ence of the Gibbs (or Gibbs Wilbraham) phenomenon in applications, its analysis and the different methods of filtering it out. The analysis and filtering cover the familiar Gibbs phenomenon in Fourier series and integral representations of functions with jump discontinuities. In ad dition it will include other representations, such as general orthogonal series expansions, general