Introduction to Frames and Riesz Bases - Part 1

Introduction to Frames and Riesz Bases - Part 1

Fields Institute via YouTube Direct link

Intro

1 of 15

1 of 15

Intro

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Introduction to Frames and Riesz Bases - Part 1

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  1. 1 Intro
  2. 2 Goal and scope
  3. 3 Characterizations of ONB's
  4. 4 Riesz sequences
  5. 5 Key properties of Riesz bases = {U }
  6. 6 The expansion property for a non-basis
  7. 7 Bessel sequences
  8. 8 The frame decomposition
  9. 9 General frames versus Tight frames
  10. 10 Characterizations of frames
  11. 11 Frames versus Riesz bases
  12. 12 General dual frames
  13. 13 Characterization of all dual frames
  14. 14 An example: Sigma-Delta quantization
  15. 15 A frame where no subsequence is a basis

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