Springer, 2013. — 461 p. — (Applied and Numerical Harmonic Analysis). — ISBN 978-0-8176-8378-8.
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.
Absolute Continuity and Singularity of Measures Without Measure Theory
Visible and Invisible Cantor Sets
Convolution Inequalities for Positive Borel Measures on
Positive-Operator-Valued Measures: A General Setting for Frames
Extending Wavelet Filters: Infinite Dimensions, the Nonrational Case, and Indefinite Inner Product Spaces
On the Group-Theoretic Structure of Lifted Filter Banks
Parametric Optimization of Biorthogonal Wavelets and Filterbanks via Pseudoframes for Subspaces
On the Convergence of Iterative Filtering Empirical Mode Decomposition
Wavelet Transforms by Nearest Neighbor Lifting
On the Heat Kernel of a Left Invariant Elliptic Operator
Mixed-Norm Estimates for the
Representation of Linear Operators by Gabor Multipliers
Extension of Berezin–Lieb Inequalities
Bilinear Calderón–Zygmund Operators
Weighted Inequalities and Dyadic Harmonic Analysis
Enhancement and Recovery in Atomic Force Microscopy Images
Numerical Harmonic Analysis and Diffusions on the 3D-Motion Group
Quantification of Retinal Chromophores Through Autofluorescence Imaging to Identify Precursors of Age-Related Macular Degeneration
Simple Harmonic Oscillator Based Reconstruction and Estimation for One-Dimensional
Fourier Blues: Structural Coloration of Biological Tissues
A Harmonic Analysis View on Neuroscience Imaging