Multivariate Prediction, de Branges Spaces, and Related Extension and Inverse Problems

Proposes solutions for prediction problemsDevelops the basics of Krein and de Branges theories in a new settingMakes the transition from one to several dimensions

Proposes solutions for prediction problems Develops the basics of Krein and de Branges theories in a new setting Makes the transition from one to several dimensions

Autorentext

Inhalt
Introduction.- Analytic preliminaries.- The de Branges spaces B(E) and H(A).- Three extension problems.- Spectral functions for ci problems.- Inverse spectral problems.- Generalizations.- Real and symmetric constraints.- Past and Future.- Conservative and passive systems.- Rational spectral densities.