Canonical transfer-function realization for Schur multipliers on the Drury-Arveson space and models for commuting row contractions J. BallVladimir Bolotnikov 47A1347A4547A48operator-valued Schur-class functionsAgler decompositionunitary realizationoperator model theory We develop a $d$-variable analog of the two-component de Branges-Rovnyak reproducing kernel Hilbert space associated with a Schur-class function on the unit disk. In this generalization, the unit disk is replaced by the unit ball in $d$-dimensional complex Euclidean space, and the Schur class becomes the class of contractive multipliers on the Drury-Arveson space over the ball. We also develop some results on a model theory for commutative row contractions which are not necessarily completely noncoisometric (the case considered in earlier work of Bhattacharyya, Eschmeier, and Sarkar). Indiana University Mathematics Journal 2012 text pdf 10.1512/iumj.2012.61.4601 10.1512/iumj.2012.61.4601 en Indiana Univ. Math. J. 61 (2012) 665 - 716 state-of-the-art mathematics http://iumj.org/access/