Excursions in Harmonic Analysis, Volume 4 [electronic resource] : The February Fourier Talks at the Norbert Wiener Center / edited by Radu Balan, Matthew Begué, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou.

Contributor(s): Balan, Radu [editor.] | Begué, Matthew [editor.] | Benedetto, John J [editor.] | Czaja, Wojciech [editor.] | Okoudjou, Kasso A [editor.] | SpringerLink (Online service)
Material type: TextTextSeries: Applied and Numerical Harmonic Analysis: Publisher: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015Edition: 1st ed. 2015Description: XVIII, 428 p. 22 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319201887Subject(s): Mathematics | Harmonic analysis | Approximation theory | Functional analysis | Integral transforms | Operational calculus | Applied mathematics | Engineering mathematics | Mathematics | Abstract Harmonic Analysis | Approximations and Expansions | Functional Analysis | Integral Transforms, Operational Calculus | Appl.Mathematics/Computational Methods of EngineeringAdditional physical formats: Printed edition:: No titleDDC classification: 515.785 LOC classification: QA403-403.3Online resources: Click here to access online
Contents:
Wiener Randomization on Unbounded Domains and an Application to Almost Sure Well-Posedness of NLS -- Bridging Erasures and the Infrastructure of Frames -- Choosing Function Spaces in Harmonic Analysis -- Existence of Frames with Prescribed Norms and Frame Operator -- Phase Transitions in Phase Retrieval -- Sparsity-Assisted Signal Smoothing -- A Message-Passing Approach to Phase Retrieval of Sparse Signals -- Importance Sampling in Signal Processing Applications -- Finite Dimensional Dynamical Sampling: An Overview -- Signal Processing on Weighted Line Graphs -- Adaptive Signal Processing -- Spectral Correlation Hub Screening of Multivariate Time Series -- A Spectral Analysis Approach for Experimental Designs -- The Synchrosqueezing Transform for Instantaneous Spectral Analysis -- Supervised Non-Negative Matrix Factorization for Audio Source Separation.
In: Springer eBooksSummary: This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry, and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include:   • Special Topics in Harmonic Analysis • Applications and Algorithms in the Physical Sciences • Gabor Theory • RADAR and Communications: Design, Theory, and Applications   The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.
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Wiener Randomization on Unbounded Domains and an Application to Almost Sure Well-Posedness of NLS -- Bridging Erasures and the Infrastructure of Frames -- Choosing Function Spaces in Harmonic Analysis -- Existence of Frames with Prescribed Norms and Frame Operator -- Phase Transitions in Phase Retrieval -- Sparsity-Assisted Signal Smoothing -- A Message-Passing Approach to Phase Retrieval of Sparse Signals -- Importance Sampling in Signal Processing Applications -- Finite Dimensional Dynamical Sampling: An Overview -- Signal Processing on Weighted Line Graphs -- Adaptive Signal Processing -- Spectral Correlation Hub Screening of Multivariate Time Series -- A Spectral Analysis Approach for Experimental Designs -- The Synchrosqueezing Transform for Instantaneous Spectral Analysis -- Supervised Non-Negative Matrix Factorization for Audio Source Separation.

This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry, and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include:   • Special Topics in Harmonic Analysis • Applications and Algorithms in the Physical Sciences • Gabor Theory • RADAR and Communications: Design, Theory, and Applications   The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.

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