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MATH 858R / AMSC 808R , Spring 2015 Notes and Summary

Lecture Date What was covered Notes
1 Jan. 27 Introduction; Metric spaces get assignment 1
2 Jan. 29 Completion of Metric Spaces
3 Feb. 3 Banach Spaces; Examples turn in assignment 1
4 Feb. 5 Operator Norms
5 Feb. 10 Hilbert spaces; Examples  
6 Feb. 12 Frame Analysis for Hilbert spaces
7 Feb. 17 - university closed due to snow
8 Feb. 19. FFT Conference
9 Feb. 24 Uniformly convex Banach spaces;
Hanner inequalities; projection onto closed convex sets
10 Feb. 26 - university closed due to snow
11 Mar. 3 Convex analysis in Hilbert spaces; Convex optimizations: primal and dual problems  
12 Mar. 5 university closed due to snow
13 Mar. 10 LMI Optimization problems  
14 Mar. 12 Operator norm computations via SDP  
- Mar.17 SPRING BREAK

 

- Mar. 19 SPRING BREAK  
15 Mar. 24 Compressive Sampling: Uniqueness of the solution of the (P0) problem
16 Mar. 26 NSP: Uniqueness to (P1) and (P0)-(P1)  
17 Mar.31 NO CLASS -
18 Apr. 2

NO CLASS

-
19 Apr. 7 RIP: \delta_2s<1 and \delta_2s<\sqrt 2 -1
20 Apr. 9 Probabilistic Matrices, Concentration of Measure
21 Apr. 14 Probabilistic Matrices (2)

22 Apr. 16 Discrete Uncertainty Principle
16 Apr. 16 Uncertainty Principle - Consequences Make-up class at 3:30pm in MATH 2300
23 Apr. 21 Fourier transform
24 Apr. 23 Uncertainty Principle & CRLB
25 Apr. 28 Windowed Fourier transform
26 Apr 30 Continuous Wavelet Transform; Reproducing Kernel Hilbert Space
27 May. 5
28 May. 7 HW #3 Due
29 May. 12 Projects/Reports Submission Deadline;
Final Exam
FINAL EXAM