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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Full Text (via ProQuest) |
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| Main Author: | |
| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Providence :
American Mathematical Society,
2018.
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| Series: | Contemporary Mathematics Ser.
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| Subjects: |
Functional analysis
> Inner product spaces and their generalizations, Hilbert spaces
> Inner product spaces and their generalizations, Hilbert spaces.-msc.
Harmonic analysis on Euclidean spaces
> Harmonic analysis in one variable
> Harmonic analysis in one variable.-msc.
Harmonic analysis on Euclidean spaces
> Nontrigonometric harmonic analysis
> Nontrigonometric harmonic analysis.-msc.
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| 050 | 4 | |a QA433 .F727 2018 | |
| 100 | 1 | |a Kim, Yeonhyang. | |
| 245 | 1 | 0 | |a Frames and Harmonic Analysis. |
| 260 | |a Providence : |b American Mathematical Society, |c 2018. | ||
| 300 | |a 1 online resource (358 pages) | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
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| 490 | 1 | |a Contemporary Mathematics Ser. ; |v v. 706. | |
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 500 | |a 2. Spectral Hutchinson-3 measures: a necessary condition on for the resulting measure to be spectral. | ||
| 520 | |a 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. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Abstract harmonic analysis |x Abstract harmonic analysis |x Abstract harmonic analysis.-msc. | |
| 650 | 0 | |a Approximations and expansions |x Approximations and expansions |x Approximations and expansions.-msc. | |
| 650 | 0 | |a Frames (Vector analysis) | |
| 650 | 0 | |a Functional analysis |x Inner product spaces and their generalizations, Hilbert spaces |x Inner product spaces and their generalizations, Hilbert spaces.-msc. | |
| 650 | 0 | |a Gabor transforms. | |
| 650 | 0 | |a Harmonic analysis on Euclidean spaces |x Harmonic analysis in one variable |x Harmonic analysis in one variable.-msc. | |
| 650 | 0 | |a Harmonic analysis on Euclidean spaces |x Nontrigonometric harmonic analysis |x Nontrigonometric harmonic analysis.-msc. | |
| 650 | 0 | |a Harmonic analysis. | |
| 650 | 0 | |a Information and communication, circuits |x Communication, information |x Communication, information.-msc. | |
| 650 | 0 | |a Linear and multilinear algebra. | |
| 650 | 0 | |a matrix theory |x Basic linear algebra |x Basic linear algebra.-msc. | |
| 650 | 0 | |a Operator theory |x General theory of linear operators |x General theory of linear operators.-msc. | |
| 650 | 0 | |a Wavelets (Mathematics) | |
| 650 | 7 | |a Frames (Vector analysis) |2 fast |0 (OCoLC)fst00933614. | |
| 650 | 7 | |a Gabor transforms. |2 fast |0 (OCoLC)fst00936960. | |
| 650 | 7 | |a Harmonic analysis. |2 fast |0 (OCoLC)fst00951490. | |
| 650 | 7 | |a Wavelets (Mathematics) |2 fast |0 (OCoLC)fst01172896. | |
| 700 | 1 | |a Narayan, Sivaram K. | |
| 700 | 1 | |a Picioroaga, Gabriel. | |
| 776 | 0 | 8 | |i Print version: |a Kim, Yeonhyang. |t Frames and Harmonic Analysis. |d Providence : American Mathematical Society, ©2018 |z 9781470436193. |
| 830 | 0 | |a Contemporary Mathematics Ser. | |
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