| Wayne Lawton, Department of Mathematics, National University of Singapore |
| Title: Prediction Theory and Spectral Factorization |
| Abstract: Prediction theory studies stationary random functions on ordered groups. Time series are functions on the integer group characterized by classical harmonic analysis results such as the Fejer and Szego spectral factorization theorems. Images and wavelet filters are functions on higher rank groups. We apply results in entire functions, ergodic theory and harmonic analysis to characterize multivariable spectral factors. |