An Introduction to Finite Tight Frames
This textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade. Stimulating much of this growth are the applications of finite frames to diverse fields such as signal processing, quantum information theory, multivariate o...
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| Format: | eBook |
| Language: | English |
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New York, NY
Birkhäuser
2018, 2018
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| Edition: | 1st ed. 2018 |
| Series: | Applied and Numerical Harmonic Analysis
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| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- Tight Frames
- Frames
- Canonical Coordinates for Vector Spaces and Affine Spaces
- Combining and Decomposing Frames
- Variational Characterizations of Tight Frames
- The Algebraic Variet of Tight Frames
- Projective Unitary Equivalence and Fusion Frames
- Symmetries of Tight Frames
- Group Frames
- Harmonic Frames
- Equiangular and Grassmannian Frames
- Tight Frames Generated by Nonabelian Groups
- Weyl-Heisenberg SICs
- Tight Frames of Orthogonal Polynomials on the Simplex
- Continuous Tight Frames for Finite Dimensional Spaces
- Solutions
- References
- Index