February Fourier Talks 2018

Hugo Woerdeman

Drexel University


Multivariable moment problems


The moment problem asks when a list of complex numbers may be represented as the moments of a positive measure. Its applications are numerous and include linear prediction and digital filtering. Methods used to solve them range from completions of positive semidefinite matrices, orthogonal polynomials, study of structured matrices, Schur/reflection parameter techniques, to commutant lifting theorems, reproducing kernel Hilbert spaces, and an algebraic scheme called the band method. A particular active area of current research are the multivariable moment problems. In this lecture we shall focus our attention on both the multivariable trigonometric moment problem and the multivariable Hamburger moment problem.

Back to FFT2018 speakers
Back to FFT2018 home