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

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.

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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.

---

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.

Content:
Front Matter....Pages i-xix
Front Matter....Pages 1-3
Absolute Continuity and Singularity of Measures Without Measure Theory....Pages 5-10
Visible and Invisible Cantor Sets....Pages 11-21
Positive-Operator-Valued Measures: A General Setting for Frames....Pages 23-47
Front Matter....Pages 49-64
Extending Wavelet Filters: Infinite Dimensions, the Nonrational Case, and Indefinite Inner Product Spaces....Pages 65-67
On the Group-Theoretic Structure of Lifted Filter Banks....Pages 69-111
Parametric Optimization of Biorthogonal Wavelets and Filterbanks via Pseudoframes for Subspaces....Pages 113-135
On the Convergence of Iterative Filtering Empirical Mode Decomposition....Pages 137-155
Wavelet Transforms by Nearest Neighbor Lifting....Pages 157-172
Front Matter....Pages 173-192
On the Heat Kernel of a Left Invariant Elliptic Operator....Pages 193-195
Mixed-Norm Estimates for the k-Plane Transform....Pages 197-209
Representation of Linear Operators by Gabor Multipliers....Pages 211-228
Extension of Berezin–Lieb Inequalities....Pages 229-250
Bilinear Calder?n–Zygmund Operators....Pages 251-266
Weighted Inequalities and Dyadic Harmonic Analysis....Pages 267-280
Front Matter....Pages 281-306
Enhancement and Recovery in Atomic Force Microscopy Images....Pages 307-309
Numerical Harmonic Analysis and Diffusions on the 3D-Motion Group....Pages 311-332
Quantification of Retinal Chromophores Through Autofluorescence Imaging to Identify Precursors of Age-Related Macular Degeneration....Pages 333-353
Simple Harmonic Oscillator Based Reconstruction and Estimation for One-Dimensional q-Space Magnetic Resonance (1D-SHORE)....Pages 355-371
Fourier Blues: Structural Coloration of Biological Tissues....Pages 373-399
Back Matter....Pages 401-421
A Harmonic Analysis View on Neuroscience Imaging....Pages 451-454
....Pages 423-450