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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA320. FCT 98359 (Browse shelf) | 1 | Available |
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QA320. FCT 98246 Reality and measurement in algebraic quantum theory | QA320. FCT 98317 Finite blaschke products and their connections | QA320. FCT 98337 Functional analysis | QA320. FCT 98359 Wavelet packets and their statistical applications | QA320. FCT 98395 From classical to modern analysis | QA320. FCT 98443 A course in functional analysis and measure theory | QA320. FCT 98447 Crossed products of C*- algebras, topological dynamics, and classification |
Colocação: Online
This book presents the basic concepts of functional analysis, wavelet analysis and thresholding. It begins with an elementary chapter on preliminaries such as basic concepts of functional analysis, a brief tour of the wavelet transform, Haar scaling functions and function space, wavelets, symlets wavelets and coiflets wavelets. In turn, Chapters 2 and 3 address the construction of wavelet packets, selected results on wavelet packets, band-limited wavelet packets, characterisations of wavelet packets, multiresolution analysis (MRA) wavelet packets, pointwise convergence, the convergence of wavelet packet series and convolution bounds. Chapter 4 discusses characterisations of function spaces like Lebesgue spaces, Hardy spaces and Sobolev spaces in terms of wavelet packets, while Chapter 5 is devoted to applications of wavelets and wavelet packets in speech denoising and biomedical signals. In closing, Chapter 6 highlights applications of wavelets and wavelet packets in image denoising.
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