Frames and Harmonic Analysis.

Cover -- Title page -- Contents -- Preface -- Participants of the AMS Special Session "Frames, Wavelets and Gabor Systems" -- Participants of the AMS Special Session "Frames, Harmonic Analysis, and Operator Theory" -- Constructions of biangular tight frames and their relationships with equiangular tight frames -- 1. Introduction -- 2. Preliminaries -- 3. A continuum of BTFs in ℝ³ -- 4. Harmonic BTFs -- 5. Steiner BTFs -- 6. Plücker ETFs -- Acknowledgment -- References -- Phase retrieval by hyperplanes -- 1. Introduction -- 2. Preliminaries -- 3. Phase retrieval by hyperplanes -- 4. An example in \RR⁴ -- References -- Tight and full spark Chebyshev frames with real entries and worst-case coherence analysis -- 1. Introduction -- 2. Real Vandermonde-like matrices -- 3. Frames seeded from DFT matrices -- References -- Fusion frames and distributed sparsity -- 1. Introduction -- 2. General tools and models -- 3. An extension of traditional compressed sensing -- 4. Application to dense spectrum estimation -- 5. Conclusion -- References -- The Kadison-Singer problem -- 1. Introduction -- 2. From Kadison-Singer problem to Weaver's conjecture -- 3. Proof of Weaver's conjecture -- 4. Applications of Weaver's conjecture -- Acknowledgments -- References -- Spectral properties of an operator polynomial with coefficients in a Banach algebra -- 1. Introduction -- 2. Banach modules and memory decay -- 3. The method of similar operators and a special case of the main result -- 4. Proof of the main result -- 5. Various classes of operators with memory decay -- 6. Examples -- References -- The Kaczmarz algorithm, row action methods, and statistical learning algorithms -- 1. Introduction -- 2. Connection with projection methods and row action methods -- 3. Convergence rate of Kaczmarz algorithm under noise -- 4. Connection with statistical learning methods.

References -- Lipschitz properties for deep convolutional networks -- 1. Introduction -- 2. Scattering network -- 3. Filter aggregation -- 4. Examples of estimating the Lipschitz constant -- References -- Invertibility of graph translation and support of Laplacian Fiedler vectors -- 1. Introduction -- 2. Translation operator on graphs -- 3. Support of Laplacian Fiedler vectors on graphs -- References -- Weighted convolution inequalities and Beurling density -- 1. Introduction -- 2. Weighted convolution inequalities and Beurling densities of the measure ⁻¹ -- 3. Best constants in weighted convolution inequalities -- 4. Exponential weights -- Acknowledgements -- References -- -Riesz bases in quasi shift invariant spaces -- 1. Introduction -- 2. Preliminaries -- 3. Problem 1 ( =2) -- 4. Problem 2 -- 5. Remarks and open problems -- Acknowledgments -- References -- On spectral sets of integers -- 1. Introduction -- 2. One prime power -- 3. Szabó's examples -- 4. Some general constructions -- 5. Appendix -- Acknowledgments -- References -- Spectral fractal measures associated to IFS's consisting of three contraction mappings -- 1. Introduction: Hutchinson measures and determining when they are spectral -- 2. Spectral Hutchinson-3 measures: a necessary condition on for the resulting measure to be spectral -- 3. Well-spacedness about the origin and the canonical spectrum -- 4. Well-spacedness about the origin and an alternative spectrum -- 5. Which Hutchinson-3 measures are spectral? -- Acknowledgements -- References -- A matrix characterization of boundary representations of positive matrices in the Hardy space -- 1. Introduction -- 2. Lebesgue measure: kernels in ²( ) with equal norms -- 3. Diagonal coefficient matrices -- 4. Absolutely continuous measures -- 5. Preservation of norms of subspaces of ²( ) -- References.

Gibbs effects using Daubechies and Coiflet tight framelet systems -- 1. Introduction -- 2. Daubechies and Coiflets tight framelets for two generators -- 3. The Gibbs phenomenon in Daubechies and Coiflets tight framelet expansions -- 4. Conclusion -- Acknowledgment -- References -- Conditions on shape preserving of stationary polynomial reproducing subdivision schemes -- 1. Introduction -- 2. Conditions for shape preservaton -- Acknowledgments -- References -- -Markov measures, transfer operators, wavelets and multiresolutions -- 1. Introduction -- 2. General theory -- 3. Solenoid probability spaces -- 4. Examples and applications: Transfer operators and Markov moves -- Acknowledgments -- References -- Back Cover.

This volume contains the proceedings of the AMS Special Sessions on Frames, Wavelets and Gabor Systems and Frames, Harmonic Analysis, and Operator Theory, held from April 16-17, 2016, at North Dakota State University in Fargo, North Dakota. The papers appearing in this volume cover frame theory and applications in three specific contexts: frame constructions and applications, Fourier and harmonic analysis, and wavelet theory.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.