# Excursions in Harmonic Analysis, Volume 2 [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.

Material type: TextSeries: Applied and Numerical Harmonic AnalysisPublisher: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013Description: XIX, 456 p. 56 illus., 21 illus. in color. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9780817683795Subject(s): 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 MathematicsAdditional physical formats: Printed edition:: No titleDDC classification: 515.2433 LOC classification: QA403.5-404.5Online resources: Click here to access onlineItem type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
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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.

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.