Titlebook: Recent Advances in Fourier Analysis and Its Applications; J. S. Byrnes,Jennifer L. Byrnes Book 1990 Kluwer Academic Publisher 1990 Fourier

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Fourier Shape Analysis Of Anatomic Structuresomic data as presented in three-dimensional Nuclear Magnetic Resonance (NMR) imaging. There is a wide variety of common problems that can benefit from a quantitative method of shape analysis. Indeed, shape constitutes one of four major independent parameters of structural morphometry (volume, shape,

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Harmonic Analysis of the Semi-Classical Limitorder to obtain pointmechanical laws under the so-called classical nonrelativistic limit. In quantum mechanics a state sometimes is developed in terms of two-parameter families of unitary operators applied on the Hilbert space of absolutely square integrable functions in R.. Through a similar proced

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Complex Finite Fourier Transform Techniques Applied to Thermal Energy Storage Problemsions. Fourier transform techniques may be used when a problem is not suitable for application of the separation of variables technique. Underground thermal energy storage problems typically lead to problems governed by parabolic type partial differential equations having solutions of periodic behavi

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Properties on the Unit Circle of Polynomials with Unimodular Coefficients α.. +…α... is produced for which ∣α.∣ = 1 for all . = 0,1,…, . and for which .(α.) = 0 for a given set of α.,.= 1,2,…, ., ∣α.∣ = 1, and .(.) ≠ 0 elsewhere on ∣.∣ = 1. It is further shown how to extend this construction so as to maintain these properties and force the maximum of ∣.(.)∣ to occur at a

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Functions of Modulus 1 on Z, Whose Fourier Transforms Have Constant Modulus, and “CYCLIC ,-ROOTS”has a constant modulus, is called .. On the other hand, we study the set .(.) of “cyclic .-roots”, i. e. solutions of a certain system (2.1) of algebraic equations. We prove that there is essentially a one-one correspondence between the bi-equimodular functions and the cyclic .-roots of modulus one.

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Uncertainty Principle Inequalities and Spectrum Estimationrinciple of quantum mechanics, formulated by Heisenberg, Pauli, Weyl, and Wiener, is an example of such an inequality; and it was applied to signal analysis by Gabor..Weighted and local versions of the classical uncertainty principle inequality are proved in order to provide fine estimation of signa

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