Resumen de On extension of multi-parametric local semigroups of isometric operators and some applications

Ramón Bruzual, Marisela Domínguez, A. Pérez

• It is shown that, under certain uniqueness conditions, a strongly continous n-parametric local semigroup of isometric operators on a Hilbert space, can be extended to a strongly continous n-parametric group of unitary operators on a larger Hilbert space. As an application a proof of the G.I. Èskin multi-dimensional version of the M.GKrein extension theorem, for positive definite functions, is given