Smooth Multiresolution Analysis

Pierre Brémaud ()
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Pierre Brémaud: École Polytechnique Fédérale de Lausanne

Chapter D5 in Mathematical Principles of Signal Processing, 2002, pp 229-237 from Springer

Abstract: Abstract The axiomatic framework of multiresolution analysis is Fourier analysis in L 2, and the convergence of the wavelet expansion is therefore in the L 2-norm. The smoothness properties of the scaling function and of the mother wavelet are, however, of great interest to obtain fast L 2-convergence of the wavelet expansion, or to obtain pointwise convergence of this expansion.

Date: 2002
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DOI: 10.1007/978-1-4757-3669-4_16

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