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Total nonnegativity
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Classroom Contents
Totally Positive Kernels, Polya Frequency Functions, and Their Transforms
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- 1 Intro
- 2 Total nonnegativity
- 3 Total positivity in mathematics
- 4 Examples (cont.)
- 5 Real rooted polynomials
- 6 Quasi-stable polynomials
- 7 Composition operators
- 8 Finite dimensional case: X and Y finite
- 9 From TN to TP: Whitney's theorem.
- 10 Characterization for TP
- 11 Preservers of TN kernels
- 12 Existence of TP kernels
- 13 TP kernel approximations
- 14 Restricting to special families
- 15 Back to general TP kernels
- 16 Hankel kernels
- 17 Open problems
- 18 References
