Guta, Madalin; Butucea, Christina - Centre de Recherche en Économie et Statistique … - 2010
The notion of a U-statistic for an n-tuple of identical quantum systems is introduced inanalogy to the classical (commutative) case: given a selfadjoint ‘kernel’ K acting on (Cd)rwith r n, we define the symmetric operator Un = ??nrP K() with K() being the kernelacting on the subset of {1, ....