Campuses:

Moments of positivity

Wednesday, January 24, 2007 - 11:15am
Lind 409
Mihai Putinar (University of California)
The seminar will offer an unifying overview of the theory of positive functionals, the spectral theorem, moment problems and polynomial optimization. We will treat only the commutative case, in the following order:

1. The integral
2. Positive definite quadratic forms and the spectral theorem
3. Orhtogonal polynomials and Jacobi matrices
4. Moment problems and continued fractions
5. Polynomial optimization
6. Open questions

We encourage the participants to have a look at Stieltjes' classical memoir on continued fractions, available at: http://www.numdam.org/numdam-bin/fitem?id=AFST_1894_1_8_4_J1_0