Frames and Harmonic Analysis
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...
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| Médium: | E-kniha |
| Jazyk: | angličtina |
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American Mathematical Society
2018
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| Vydání: | 1 |
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| ISBN: | 9781470436193, 1470436191 |
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- 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
- 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