Excursions in Harmonic Analysis, Volume 2

1. Absolute Continuity and Singularity of Measures Without Measure Theory
R. B. Burckel

2. Visible and Invisible Cantor Sets
Carlos Cabrelli, Udayan B. Darji, Ursula Molter

3. Convolution Inequalities for Positive Borel Measures on R^d and Beurling Density
Jean-Pierre Gabardo

4. Positive-Operator-Valued Measures: A General Setting for Frames
Bill Moran, Stephen Howard, Doug Cochran

5. Extending Wavelet Filters: Infinite Dimensions, the Nonrational Case, and Indefinite Inner Product Spaces
Daniel Alpay, Palle Jorgensen, Izchak Lewkowicz

6. On the Group-Theoretic Structure of Lifted Filter Banks
Christopher M. Brislawn

7. Parametric Optimization of Biorthogonal Wavelets and Filterbanks via Pseudoframes for Subspaces
Shidong Li, Michael Hoffman

8. On the Convergence of Iterative Filtering Empirical Mode Decomposition
Yang Wang, Zhengfang Zhou

9. Wavelet Transforms by Nearest Neighbor Lifting
Wei Zhu, M. Victor Wickerhauser

10. On the Heat Kernel of a Left Invariant Elliptic Operator
Ovidiu Calin, Der-Chen Chang, Yutian Li

11. Mixed-Norm Estimates for the k-Plane Transform
Javier Duoandikoetxea, Virginia Naibo

12. Representation of Linear Operators by Gabor Multipliers
Peter C. Gibson, Michael P. Lamoureux, Gary F. Margrave

13. Extension of Berezin–Lieb Inequalities
John R. Klauder, Bo-Sture K. Skagerstam

14. Bilinear Calderón–Zygmund Operators
Diego Maldonado

15. Weighted Inequalities and Dyadic Harmonic Analysis
María Cristina Pereyra

16. Enhancement and Recovery in Atomic Force Microscopy Images
Alex Chen, Andrea L. Bertozzi, Paul D. Ashby, Pascal Getreuer, Yifei Lou

17. Numerical Harmonic Analysis and Diffusions on the 3D-Motion Group
Gregory S. Chirikjian

18. Quantification of Retinal Chromophores Through Autofluorescence Imaging to Identify Precursors of Age-Related Macular Degeneration
M. Ehler, J. Dobrosotskaya, E. J. King, R. F. Bonner

19. Simple Harmonic Oscillator Based Reconstruction and Estimation for One-Dimensional q-Space Magnetic Resonance (1D-SHORE)
Evren Özarslan, Cheng Guan Koay, Peter J. Basser

20. Fourier Blues: Structural Coloration of Biological Tissues
Richard O. Prum, Rodolfo H. Torres

21. A Harmonic Analysis View on Neuroscience Imaging
Paul Hernandez—Herrera, David Jiménez, Ioannis A. Kakadiaris, Andreas Koutsogiannis, Demetrio Labate, Fernanda Laezza, Manos Papadakis

Keywords: Mathematics, Fourier Analysis, Signal, Image and Speech Processing, Abstract Harmonic Analysis, Mathematical and Computational Biology, Appl.Mathematics/Computational Methods of Engineering, Applications of Mathematics