Titlebook: Wavelets and Their Applications; J. S. Byrnes,Jennifer L. Byrnes,Karl Berry Book 1994 Springer Science+Business Media Dordrecht 1994 Fouri

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From a wavelet auditory model to definitions of the Fourier transform,form norm inequalities. These inequalities give rise to definitions of the Fourier transform on weighted Lebesgue spaces; the definitions are sometimes necessarily different than the usual one because of the behavior of the weights.

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From a wavelet auditory model to definitions of the Fourier transform,form norm inequalities. These inequalities give rise to definitions of the Fourier transform on weighted Lebesgue spaces; the definitions are sometimes necessarily different than the usual one because of the behavior of the weights.

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Multiscale statistical modeling: isotropic processes on a homogeneous tree,, while for image processing we typically have a tree of order 4. This approach motivates our attempt to establish the framework for a theory of stochastic processes indexed by the nodes of homogeneous trees (which includes, in particular, the statistical modeling).

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Some stability properties of wavelets and scaling functions,on. That is, if f is a continuous function which is a solution of the dilation equation . then a dilation equation with slightly perturbed coefficients {c.,…, c. } need not have a continuous solution. The convergence of the Cascade Algorithm, an iterative method for solving a dilation equation, is l

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From a wavelet auditory model to definitions of the Fourier transform,sis of time-scale data. The time-scale plane for WAM? is analogous to Gabor’s dissection of the information plane by means of the uncertainty principle inequality. Generalizations of this inequality lead to other dissections of the information plane; and their proofs depend on weighted Fourier trans

PAD416

Some stability properties of wavelets and scaling functions,on. That is, if f is a continuous function which is a solution of the dilation equation . then a dilation equation with slightly perturbed coefficients {c.,…, c. } need not have a continuous solution. The convergence of the Cascade Algorithm, an iterative method for solving a dilation equation, is l

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