Totally Positive Kernels, Polya Frequency Functions, and Their Transforms

Totally Positive Kernels, Polya Frequency Functions, and Their Transforms

Fields Institute via YouTube Direct link

Back to general TP kernels

15 of 18

15 of 18

Back to general TP kernels

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Classroom Contents

Totally Positive Kernels, Polya Frequency Functions, and Their Transforms

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

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