Multivariate commutant lifting in the framework of the test functions.
C. Ambrozie, IMAR, Acad. Sci. de Roumanie
One presents a new functional commutant lifting theorem of Agler type, for general domains endowed with a set, possibly infinite, of test functions. In particular, this can provide H-infinity interpolation results of Caratheodory - Fejer type on various domains in several variables.