Titlebook: Excursions in Harmonic Analysis, Volume 4; The February Fourier Radu Balan,Matthew Begué,Kasso A. Okoudjou Book 2015 Springer International

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Studies in Computational Intelligence the hub time series, i.e., those that are highly correlated with a specified number of other time series. We show that Fourier components of the time series at different frequencies are asymptotically statistically independent. This property permits independent correlation analysis at each frequenc

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Marcel Jirina,Marcel Jirina Jr.a form of time-frequency reassignment that is both sparse and invertible, allowing for the recovery of the signal. This article presents an overview of the theory and stability properties of Synchrosqueezing, as well as applications of the technique to topics in cardiology, climate science, and econ

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https://doi.org/10.1007/978-3-319-20188-7frames; gabor theory; harmonic analysis; image processing; remote sensing; sampling; wavelets

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Foundations of Classical Laminate TheoryDynamical sampling is an emerging paradigm for studying signals that evolve in time. In this chapter we present many of the available results pertaining to dynamical sampling in the finite dimensional setting. We also provide a brief survey of the latest results in the infinite dimensional setting.

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Finite Dimensional Dynamical Sampling: An OverviewDynamical sampling is an emerging paradigm for studying signals that evolve in time. In this chapter we present many of the available results pertaining to dynamical sampling in the finite dimensional setting. We also provide a brief survey of the latest results in the infinite dimensional setting.

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Applied and Numerical Harmonic Analysishttp://image.papertrans.cn/e/image/318429.jpg

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Wiener randomization on unbounded domains and an application to almost sure well-posedness of NLS Such randomized functions enjoy better integrability, thus allowing us to improve the Strichartz estimates for the Schr?dinger equation. As an example, we also show that the energy-critical cubic nonlinear Schr?dinger equation on . is almost surely locally well posed with respect to randomized init