| Description |
1 online resource (358 pages) |
| Series |
Contemporary Mathematics Ser. ; v. 706 |
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Contemporary Mathematics Ser
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| Contents |
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 |
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Tight and full spark Chebyshev frames with real entries and worst-case coherence analysis1. 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 |
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Spectral properties of an operator polynomial with coefficients in a Banach algebra1. 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 |
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Lipschitz properties for deep convolutional networks1. 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 |
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4. Exponential weightsAcknowledgements; 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 |
| Summary |
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 |
| Notes |
2. Spectral Hutchinson-3 measures: a necessary condition on for the resulting measure to be spectral |
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Print version record |
| Subject |
Abstract harmonic analysis -- Abstract harmonic analysis -- Abstract harmonic analysis.-msc
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Approximations and expansions -- Approximations and expansions -- Approximations and expansions.-msc
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Frames (Vector analysis)
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Functional analysis -- Inner product spaces and their generalizations, Hilbert spaces -- Inner product spaces and their generalizations, Hilbert spaces.-msc
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Gabor transforms.
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Harmonic analysis on Euclidean spaces -- Harmonic analysis in one variable -- Harmonic analysis in one variable.-msc
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Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Nontrigonometric harmonic analysis.-msc
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Harmonic analysis.
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Information and communication, circuits -- Communication, information -- Communication, information.-msc
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Linear and multilinear algebra
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matrix theory -- Basic linear algebra -- Basic linear algebra.-msc
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Operator theory -- General theory of linear operators -- General theory of linear operators.-msc
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Wavelets (Mathematics)
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Frames (Vector analysis)
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Gabor transforms.
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Harmonic analysis.
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Wavelets (Mathematics)
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Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Nontrigonometric harmonic analysis.
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Information and communication, circuits -- Communication, information -- Communication, information.
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Linear and multilinear algebra; matrix theory -- Basic linear algebra -- Basic linear algebra.
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Operator theory -- General theory of linear operators -- General theory of linear operators.
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Harmonic analysis on Euclidean spaces -- Harmonic analysis in one variable -- Harmonic analysis in one variable.
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Functional analysis -- Inner product spaces and their generalizations, Hilbert spaces -- Inner product spaces and their generalizations, Hilbert spaces.
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Abstract harmonic analysis -- Abstract harmonic analysis -- Abstract harmonic analysis.
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Approximations and expansions -- Approximations and expansions -- Approximations and expansions.
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| Form |
Electronic book
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| Author |
Narayan, Sivaram K
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Picioroaga, Gabriel
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| ISBN |
9781470447236 |
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1470447231 |
