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We develop a $d$-variable analog of the two-component de Bran-ges-Rovnyakreproducing kernel Hilbert space associated with a Schur-class function on theunit disk. In this generalization, the unit disk is replaced by the unit ballin $d$-dimensional complex Euclidean space, and the Schur class becomes theclass of contractive multipliers on the Drury-Arveson space over the ball. Wealso develop some results on a model theory for commutative row contractionswhich are not necessarily completely noncoisometric (the case considered inearlier work of Bhattacharyya, Eschmeier and Sarkar)

Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions