Titlebook: Excursions in Harmonic Analysis, Volume 5; The February Fourier Radu Balan,John J. Benedetto,Kasso A. Okoudjou Book 2017 Springer Internati

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Jeffrey A. Clark,Dhiraj K. Pradhanrove upper bounds on general error moments for consistent reconstruction, and we establish general admissibility conditions on the sampling distributions used for consistent reconstruction. This extends previous work in Powell and Whitehouse (Found Comput Math 16:395–423, 2016) that addressed mean s

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Foundations of Differential Calculusirst principles and based on the preservation of topology under homeomorphisms. Under certain assumptions the resulting models can be used as direct plug ins to render an existing signal processing algorithm invariant. We show one concretization of the general scheme and develop it into a computatio

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Basic Equations of Differential Geodesy,omials. In this method, the Quillen-Suslin Theorem is used to transform vectors with Laurent polynomial entries to other vectors with Laurent polynomial entries so that the matrix analysis tools that were not readily available for the vectors before the transformation can now be employed. As a resul

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https://doi.org/10.1057/9781137363787s. Considering a signal supported on this finite approximation, we propose a Fast (Fractal) Fourier Transform by choosing appropriately a second iterated function system to generate a set of frequencies for a collection of exponential functions supported on this finite approximation. Since both the

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https://doi.org/10.1007/BFb0052071on decomposes as a direct integral of irreducible representations. The answer is quite different depending on whether . is rational or irrational, and in the latter case it provides illustrations of some interesting pathological phenomena.

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Time-Frequency Analysis and Representations of the Discrete Heisenberg Groupon decomposes as a direct integral of irreducible representations. The answer is quite different depending on whether . is rational or irrational, and in the latter case it provides illustrations of some interesting pathological phenomena.

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978-3-319-85460-1Springer International Publishing AG 2017