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.
Series: Applied and Numerical Harmonic AnalysisPublisher: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013Description: XVIII, 488 p. 135 illus., 88 illus. in color. online resourceContent type:- text
- computer
- online resource
- 9780817683764
- 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 Mathematics
- 515.2433 23
- QA403.5-404.5

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.