Excursions in harmonic analysis. Volume 5 : the February Fourier Talks at the Norbert Wiener Center / Radu Balan, John J. Benedetto, Wojciech Czaja, Matthew Dellatorre, Kasso A. Okoudjou, editors.
This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 - 2016. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry and g...
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| Other title: | February Fourier Talks at the Norbert Wiener Center. |
| Format: | eBook |
| Language: | English |
| Published: |
Cham, Switzerland :
Birkhäuser, Springer,
[2017]
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| Series: | Applied and numerical harmonic analysis.
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| Subjects: |
MARC
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| 245 | 0 | 0 | |a Excursions in harmonic analysis. |n Volume 5 : |b the February Fourier Talks at the Norbert Wiener Center / |c Radu Balan, John J. Benedetto, Wojciech Czaja, Matthew Dellatorre, Kasso A. Okoudjou, editors. |
| 246 | 3 | 0 | |a February Fourier Talks at the Norbert Wiener Center. |
| 264 | 1 | |a Cham, Switzerland : |b Birkhäuser, Springer, |c [2017] | |
| 264 | 4 | |c ©2017. | |
| 300 | |a 1 online resource. | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
| 338 | |a online resource |b cr |2 rdacarrier. | ||
| 347 | |a text file |b PDF |2 rda. | ||
| 490 | 1 | |a Applied and numerical harmonic analysis. | |
| 500 | |a Selected conference papers. | ||
| 504 | |a Includes bibliographical references and indexes. | ||
| 505 | 0 | |a ANHA Series Preface; Preface; The February Fourier Talks (FFT); The Norbert Wiener Center; The Structure of the Volumes; Acknowledgments; Contents; Part XVII Theoretical Harmonic Analysis; Time-Frequency Analysis and Representations of the Discrete Heisenberg Group; 1 Introduction; 2 Direct Integrals; 3 The Rational Case; 4 The Irrational Case; References; Fractional Differentiation: Leibniz Meets Hölder; 1 Introduction; 2 The counterexample; 3 The sharp Kato-Ponce inequalities and preliminaries; 4 The proof of the homogeneous inequality (7); 5 Final remarks; References. | |
| 505 | 8 | |a Wavelets and Graph C*-Algebras1 Introduction; 2 C-Algebras and Work by Bratteli and Jorgensen and Dutkay and Jorgensen on Representations of ON; 3 Marcolli-Paolucci Wavelets; 4 C*-Algebras Corresponding to Directed Graphs and Higher-Rank Graphs; 4.1 Directed Graphs, Higher-Rank Graphs, and C*-Algebras; 4.2 -Semibranching Function Systems and Representations of C*(); 5 Wavelets on L2(∞, M); 6 Traffic Analysis Wavelets on 2(0) for a Finite Strongly Connected k-Graph , and Wavelets from Spectral Graph Theory; 6.1 Wavelets for Spatial Traffic Analysis. | |
| 505 | 8 | |a 6.2 Wavelets on 2(0) Coming from Spectral Graph TheoryReferences; Part XVIII Image and Signal Processing; Precise State Tracking Using Three-Dimensional Edge Detection; 1 Introduction; 1.1 Previous Work in Tracking; 1.2 Previous Work in Edge Detection; 1.3 Outline and Contributions; 2 The Data; 3 3D Edge Detectors; 3.1 3D Canny Edge Detection; 3.2 3D Wavelet Edge Detection; 3.3 3D Shearlet Edge Detector; 3.4 3D Hybrid Wavelet and Shearlet Edge Detectors; 3.5 Performance of the Edge Detectors; 4 From Edge Detection to Tracking; 5 Experimental Results; 6 Conclusions; References. | |
| 505 | 8 | |a Approaches for Characterizing Nonlinear Mixtures in Hyperspectral Imagery1 Introduction; 2 Methodology; 2.1 Fully Constrained Least Squares; 2.2 Proposed Method 1: Fully Constrained Least Squares (FCLS) Applied to Single Scattering Albedo Spectra; 2.3 Proposed Method 2: Generalized Kernel Fully Constrained Least Squares; 3 Description of Experiment; 4 Results; 5 Concluding Remarks; References; An Application of Spectral Regularization to Machine Learning and Cancer Classification; 1 Introduction; 1.1 Machine Learning; 1.2 Approach; 1.3 Prior Work; 1.4 Paper Contents; 2 Denoising Theorems. | |
| 505 | 8 | |a 2.1 Statements of Theorems2.1.1 Method 1: Local averaging on a graph; 2.1.2 Method 2: Support vector regression/regularization on a graph; 3 Application: Using Prior Information to Form Graphs; 3.1 Gene Expression; 4 Conclusion; References; Part XIX Quantization; Embedding-Based Representation of Signal Geometry; 1 Introduction; 1.1 Notation; 1.2 Outline; 2 Preserving Distances; 2.1 Randomized Linear Embeddings; 2.2 Embedding Map Design; 2.3 Distance-preserving properties of the map; 2.4 Learning the Embedding Map; 3 Preserving Inner Products, Angles, and Correlations. | |
| 520 | |a This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 - 2016. Containing cutting-edge results by an impressive array of mathematicians, engineers, and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers, and professionals in pure and applied mathematics, physics, and engineering. Topics covered include: Theoretical harmonic analysis Image and signal processing Quantization Algorithms and representations The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.-- |c Provided by publisher. | ||
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed June 26, 2017) | |
| 650 | 0 | |a Harmonic analysis |v Congresses. |0 http://id.loc.gov/authorities/subjects/sh2008105487. | |
| 650 | 7 | |a Harmonic analysis. |2 fast |0 (OCoLC)fst00951490. | |
| 655 | 7 | |a Conference papers and proceedings. |2 fast |0 (OCoLC)fst01423772. | |
| 700 | 1 | |a Balan, Radu Victor, |d 1969- |e editor. |0 http://id.loc.gov/authorities/names/nr98018077 |1 http://isni.org/isni/0000000049774980. | |
| 776 | 0 | 8 | |i Print version: |t Excursions in harmonic analysis. Volume 5. |d Cham, Switzerland : Birkhäuser, Springer, [2017] |z 3319547100 |z 9783319547107 |w (OCoLC)971339062. |
| 830 | 0 | |a Applied and numerical harmonic analysis. |0 http://id.loc.gov/authorities/names/n96092412. | |
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