Excursions in Harmonic Analysis, Volume 2
Subtitle: The February Fourier Talks at the Norbert Wiener Center
By: edited by Travis D. Andrews, Radu Balan, John J. Benedetto, Wojciech Czaja, Kasso A. Okoudjou
Contributors: Balan, Radu; Benedetto, John J.; Czaja, Wojciech; Okoudjou, Kasso A.; SpringerLink (Online service)
Series: Applied and Numerical Harmonic Analysis
Publisher: Birkhäuser Boston; Imprint: Birkhäuser
Published: 2013
Place of publication: Boston
Language: eng
Format: [electronic resource] :
Number of pages: 454
ISBN-13: 9780817683795
Subjects: Appl.Mathematics/Computational Methods of Engineering; Harmonic analysis; Mathematical and Computational Biology; Applications of Mathematics; Engineering mathematics; Abstract Harmonic Analysis; Mathematics; Fourier analysis; Image and Speech Processing Signal
Description: <p>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. </p><p>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:</p><p><p>Volume I</p><p>·         Sampling Theory</p><p>·         Remote Sensing</p><p>·         Mathematics of Data Processing</p><p>·         Applications of Data Processing</p><p>Volume II</p><p>·         Measure Theory</p><p>·         Filtering</p><p>·         Operator Theory</p><p>·         Biomathematics</p><p><p>Each part provides state-of-the-art results, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. </p><p><i>Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center</i> is an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics.</p>
Table of contents: title: Part V Measure Theory; title: Absolute Continuity and Singularity of Measures Without Measure Theory; title: Visible and Invisible Cantor Sets; title: Convolution Inequalities for Positive Borel Measures on R d and Beurling Density; title: Positive Operator-Valued Measures: A General Setting for Frames; title: Part VI Filtering; title: Extending Wavelet Filters, Infinite Dimensions, the Non-Rational Case, and Indefinite-Inner Product Spaces; title: On the Group-Theoretic Structure of Lifted Filter Banks; title: Parametric Optimization of Biorthogonal Wavelets and Filterbanks via Pseudoframes for Subspaces; title: On the Convergence of Iterative Filtering Empirical Mode Decomposition; title: Wavelet Transforms by Nearest Neighbor Lifting; title: Part VII Operator Theory; title: On the Heat Kernel of a Left Invariant Elliptic Operator; title: Mixed-Norm Estimates for the k-Plane Transform; title: Representation of Linear Operators by Gabor Multipliers; title: Extensions of Berezin-Lieb Inequalities; title: Bilinear Calderon-Zygmund Operators; title: Weighted Inequalities and Dyadic Harmonic Analysis; title: Part VIII Biomathematics; title: Enhancement and Recovery in Atomic Force Micosopy Images; title: Numerical Harmonic Analysis and Diffusions on the 3D-Motion Group; title: Quantification of Retinal Chromophores Through Autofluorescence Imaging to Identify Precursors of Age-Related Macular; title: Simple Harmonic Oscillator Based Reconstruction and Estimation for One-Dimensional q-Space Magnetic Resonance (1D-SHORE); title: Fourier Blues: Structural Coloration of Biological Tissues; title: A Harmonic Analysis View On Neuroscience Imaging.