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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Cocker

Phase Transitions in Phase Retrievalthere are a few ways to measure information completeness, and each way appears to be governed by a phase transition of sorts. This chapter will survey the state of the art with some of these phase transitions, and identify a few open problems for further research.

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擁護(hù)

Ahmed Imteaj,M. Hadi Amini,Panos M. Pardalos 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 initial data below the energy space.

GREG

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 economics.

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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 initial data below the energy space.

EWE

The Synchrosqueezing transform for instantaneous spectral analysisa 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 economics.

abstemious

978-3-319-37237-2Springer International Publishing Switzerland 2015

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Foreshadow

Ahmed Imteaj,M. Hadi Amini,Panos M. Pardalos 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