Excursions in Harmonic Analysis, Volume 2: The February Fourier Talks at the Norbert Wiener Center

ISBN-13: 9780817683788 / Angielski / Twarda / 2013 / 456 str.

Travis D. Andrews; Radu Balan; John J. Benedetto

Opis

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 ProcessingVolume 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.

Spis treści

Part V Measure Theory.- Absolute Continuity and Singularity of Measures Without Measure Theory.- Visible and Invisible Cantor Sets.- Convolution Inequalities for Positive Borel Measures on R^d and Beurling Density.- Positive Operator-Valued Measures: A General Setting for Frames.- Part VI Filtering.- Extending Wavelet Filters, Infinite Dimensions, the Non-Rational 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.- Part VII Operator Theory.- On the Heat Kernel of a Left Invariant Elliptic Operator.- Mixed-Norm Estimates for the k-Plane Transform.- Representation of Linear Operators by Gabor Multipliers.- Extensions of Berezin-Lieb Inequalities.- Bilinear Calderon-Zygmund Operators.- Weighted Inequalities and Dyadic Harmonic Analysis.- Part VIII Biomathematics.- Enhancement and Recovery in Atomic Force Micosopy 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 .- Simple Harmonic Oscillator Based Reconstruction and Estimation for One-Dimensional q-Space Magnetic Resonance (1D-SHORE).- Fourier Blues: Structural Coloration of Biological Tissues.- A Harmonic Analysis View On Neuroscience Imaging.