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Constructing Wavelet Frames and Orthogonal Wavelet Bases on the Sphere

Constructing Wavelet Frames and Orthogonal Wavelet Bases on the Sphere

A classical problem is to analyse a signal (function) by decomposing it into suitable building blocks, then approximate it by truncating the expansion. Well-known examples are Fourier transform and its localized version, the Short Time Fourier transform (sometimes called the Gabor transform), and the wavelet transform. In the best case, …