Excursions in Harmonic Analysis, Volume 1
Birkhauser Boston Inc (Verlag)
978-0-8176-8375-7 (ISBN)
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.
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.
| Reihe/Serie | Applied and Numerical Harmonic Analysis |
|---|---|
| Zusatzinfo | 88 Illustrations, color; 47 Illustrations, black and white; XVIII, 488 p. 135 illus., 88 illus. in color. |
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Technik | |
| Schlagworte | bases in function spaces • Frames • Harmonic Analysis • Image Processing • Remote Sensing • Sampling • Wavelets |
| ISBN-10 | 0-8176-8375-5 / 0817683755 |
| ISBN-13 | 978-0-8176-8375-7 / 9780817683757 |
| Zustand | Neuware |
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