Excursions in Harmonic Analysis, Volume 1 [electronic resource] : The February Fourier Talks at the Norbert Wiener Center / edited by Travis D. Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou.

Contributor(s): Andrews, Travis D [editor.] | Balan, Radu [editor.] | Benedetto, John J [editor.] | Czaja, Wojciech [editor.] | Okoudjou, Kasso A [editor.] | SpringerLink (Online service)
Material type: TextTextSeries: Applied and Numerical Harmonic Analysis: Publisher: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013Description: XVIII, 488 p. 135 illus., 88 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9780817683764Subject(s): Mathematics | Harmonic analysis | Fourier analysis | Applied mathematics | Engineering mathematics | Biomathematics | Mathematics | Fourier Analysis | Signal, Image and Speech Processing | Abstract Harmonic Analysis | Mathematical and Computational Biology | Appl.Mathematics/Computational Methods of Engineering | Applications of MathematicsAdditional physical formats: Printed edition:: No titleDDC classification: 515.2433 LOC classification: QA403.5-404.5Online resources: Click here to access online
Contents:
Part 1 Sampling Theory -- Unions of Subspaces for Data Modeling and Subspace Clustering -- Fusion frames and Unbiased Basic Sequences -- Sampling in Spaces of Bandlimited Functions on Commutative Spaces -- Smooth Interpolation of Data by Efficient Algorithms -- An Overview of Time and Multiband Limiting -- A Panorama of Sampling Theory -- Part II Remote Sensing -- Multistatic Radar Waveforms for Imaging of Moving Targets -- Exploitation Performance and Characterization of a Prototype Compressive Sensing Imaging Spectrometer -- An Introduction to Hyperspectral Image Data Modeling -- Hyperspectral Demixing: Sparse Recovery of Highly Correlated Endmembers -- Theory of Passive Synthetic Aperture Imaging -- Part III Mathematics of Data Processing -- Golay-Rudin-Shapiro Polynomials and Phased Arrays -- Multi-Resolution Geometric Analysis for Data in High Dimensions -- On the Fourth-Order Structure Function of a Fractal -- Harmonic Analysis of Databases and Matrices -- The Structure of Sidelobe-Preserving Operator Groups -- Zeros of some Self-Reciprocal Polynomials -- Part IV Applications of Data Processing -- Generalized Mutual Interdependence Analysis of Noisy Channels -- Approximation Methods for the Recovery of Shapes and Images from Gradients -- FM Perturbations due to Near-Identity Linear Systems -- Eddy Current Sensor Signal Processing for Stall Detection -- State Dependent Channels: Strong Converse and Bounds on Reliability Function.
In: Springer eBooksSummary: The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I ·         Sampling Theory ·         Remote Sensing ·         Mathematics of Data Processing ·         Applications of Data Processing Volume II ·         Measure Theory ·         Filtering ·         Operator Theory ·         Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.
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Part 1 Sampling Theory -- Unions of Subspaces for Data Modeling and Subspace Clustering -- Fusion frames and Unbiased Basic Sequences -- Sampling in Spaces of Bandlimited Functions on Commutative Spaces -- Smooth Interpolation of Data by Efficient Algorithms -- An Overview of Time and Multiband Limiting -- A Panorama of Sampling Theory -- Part II Remote Sensing -- Multistatic Radar Waveforms for Imaging of Moving Targets -- Exploitation Performance and Characterization of a Prototype Compressive Sensing Imaging Spectrometer -- An Introduction to Hyperspectral Image Data Modeling -- Hyperspectral Demixing: Sparse Recovery of Highly Correlated Endmembers -- Theory of Passive Synthetic Aperture Imaging -- Part III Mathematics of Data Processing -- Golay-Rudin-Shapiro Polynomials and Phased Arrays -- Multi-Resolution Geometric Analysis for Data in High Dimensions -- On the Fourth-Order Structure Function of a Fractal -- Harmonic Analysis of Databases and Matrices -- The Structure of Sidelobe-Preserving Operator Groups -- Zeros of some Self-Reciprocal Polynomials -- Part IV Applications of Data Processing -- Generalized Mutual Interdependence Analysis of Noisy Channels -- Approximation Methods for the Recovery of Shapes and Images from Gradients -- FM Perturbations due to Near-Identity Linear Systems -- Eddy Current Sensor Signal Processing for Stall Detection -- State Dependent Channels: Strong Converse and Bounds on Reliability Function.

The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consists of contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span a large spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I ·         Sampling Theory ·         Remote Sensing ·         Mathematics of Data Processing ·         Applications of Data Processing Volume II ·         Measure Theory ·         Filtering ·         Operator Theory ·         Biomathematics Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.

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