Finite Frame Theory
A Complete Introduction to Overcompleteness
Seiten
2016
American Mathematical Society (Verlag)
978-1-4704-2019-2 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-2019-2 (ISBN)
- Titel z.Zt. nicht lieferbar
- Versandkostenfrei
- Auch auf Rechnung
- Artikel merken
Mostly written in a tutorial style, the seven chapters in this volume survey recent advances in the theory and applications of finite frames. In particular, it presents state-of-the-art results on foundational frame problems, and on the analysis and design of various frames, mostly motivated by specific applications.
Frames are overcomplete sets of vectors that can be used to stably and faithfully decompose and reconstruct vectors in the underlying vector space. Frame theory stands at the intersection of many areas in mathematics such as functional and harmonic analysis, numerical analysis, matrix theory, numerical linear algebra, algebraic and differential geometry, probability, statistics, and convex geometry. At the same time its applications in engineering, medicine, computer science, and quantum computing are motivating new research problems in applied and pure mathematics.
This volume is based on lectures delivered at the 2015 AMS Short Course ``Finite Frame Theory: A Complete Introduction to Overcompleteness'', held January 8-9, 2015 in San Antonio, TX.
Mostly written in a tutorial style, the seven chapters contained in this volume survey recent advances in the theory and applications of finite frames. In particular, it presents state-of-the-art results on foundational frame problems, and on the analysis and design of various frames, mostly motivated by specific applications. Carefully assembled, the volume quickly introduces the non-expert to the basic tools and techniques of frame theory. It then moves to develop many recent results in the area and presents some important applications. As such, the volume is designed for a diverse audience including researchers in applied and computational harmonic analysis, as well as engineers and graduate students.
Frames are overcomplete sets of vectors that can be used to stably and faithfully decompose and reconstruct vectors in the underlying vector space. Frame theory stands at the intersection of many areas in mathematics such as functional and harmonic analysis, numerical analysis, matrix theory, numerical linear algebra, algebraic and differential geometry, probability, statistics, and convex geometry. At the same time its applications in engineering, medicine, computer science, and quantum computing are motivating new research problems in applied and pure mathematics.
This volume is based on lectures delivered at the 2015 AMS Short Course ``Finite Frame Theory: A Complete Introduction to Overcompleteness'', held January 8-9, 2015 in San Antonio, TX.
Mostly written in a tutorial style, the seven chapters contained in this volume survey recent advances in the theory and applications of finite frames. In particular, it presents state-of-the-art results on foundational frame problems, and on the analysis and design of various frames, mostly motivated by specific applications. Carefully assembled, the volume quickly introduces the non-expert to the basic tools and techniques of frame theory. It then moves to develop many recent results in the area and presents some important applications. As such, the volume is designed for a diverse audience including researchers in applied and computational harmonic analysis, as well as engineers and graduate students.
Kasso A. Okoudjou, University of Maryland, College Park, MD, USA.
Index by K. A. Okoudjou
A brief introduction to Hilbert space frame theory and its applications by P. G. Casazza and R. G. Lynch
Unit norm right frames in finite-dimensional spaces by D. G. Mixon
Algebro-geometric techniques and geometric insights for finite frames by N. Strawn
Preconditioning techniques in frame theory and probabilistic frames by K. A. Okoudjou
Quantization, finite frames, and error diffusion by A. Dunkel, A. M. Powell, A. H. Spaeth, and O Yilmaz
Frames and phaseless reconstruction by R. Balan
Compressed sensing and dictionary learning by G. Chen and D. Needell
| Erscheinungsdatum | 17.08.2016 |
|---|---|
| Reihe/Serie | Proceedings of Symposia in Applied Mathematics |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Gewicht | 628 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| ISBN-10 | 1-4704-2019-8 / 1470420198 |
| ISBN-13 | 978-1-4704-2019-2 / 9781470420192 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Eine Einführung für Studienanfänger
Buch | Softcover (2025)
Springer Spektrum (Verlag)
CHF 41,95
Sieben ausgewählte Themenstellungen
Buch | Softcover (2024)
De Gruyter Oldenbourg (Verlag)
CHF 89,95
