Recent Papers

Multidimensional system theory and operator theory

• Joseph A. Ball, Vladimir Bolotnikov and Quanlei Fang, Schur-class multipliers on the Fock space:De Branges-Rovnyak reproducing kernel spaces and transfer-function realizations,to appear in Constantinescu memorial volume.pdf
• Joseph A. Ball, Vladimir Bolotnikov and Quanlei Fang, Transfer-function realization for multipliers of the Arveson space, To appear ,Journal of Mathematical Analysis and Applications. pdf
• Joseph A. Ball, Vladimir Bolotnikov and Quanlei Fang, Schur-class multipliers on the Arveson space: de Branges-Rovnyak reproducing kernel spaces and commutative transfer-function realizations, submitted. pdf
• Joseph A. Ball, Vladimir Bolotnikov and Quanlei Fang, Multivariable backward-shift invariant subspaces and observability operators, To appear, Multidimens. Syst. Signal Process. pdf
• Joseph A. Ball and Vladimir Bolotnikov, Interpolation in the noncommutative Schur-Agler class, submitted. pdf
• Joseph A. Ball, Gilbert Groenewald and Tanit Malakorn, Conservative structured noncommutative multidimensional linear systems. The state space method generalizations and applications, Oper. Theory Adv. Appl., 161, Birkhäuser, Basel, 2006, 179--223
• Joseph A. Ball, Gilbert Groenewald and Tanit Malakorn, Bounded Real Lemma for Structured Noncommutative Multidimensional Linear Systems and Robust Control, Multidimens. Syst. Signal Process. 17 (2006), no. 2, 119--150.
• Joseph A. Ball and Vladimir Bolotnikov, Nevanlinna-Pick interpolation for Schur-Agler class functions on domains with matrix polynomial defining function in $\Bbb C\sp n$. New York J. Math. 11 (2005), 247--290 (electronic).
•  Joseph A. Ball and Victor Vinnikov, Lax-Phillips scattering and conservative linear systems: a Cuntz-algebra multidimensional setting. Mem. Amer. Math. Soc. 178 (2005), no. 837, iv+101 pp.
• Joseph A. Ball, Cora Sadosky and Victor Vinnikov, Scattering systems with several evolutions and multidimensional input/state/output systems. Integral Equations Operator Theory 52 (2005), no. 3, 323--393.
• Joseph A. Ball, Cora Sadosky and Victor Vinnikov, Conservative input-state-output systems with evolution on a multidimensional integer lattice. Multidimens. Syst. Signal Process. 16 (2005), no. 2, 133--198.
• Joseph A. Ball, Cora Sadosky and Victor Vinnikov, Conservative linear systems, unitary colligations and Lax-Phillips scattering: multidimensional generalizations. Internat. J. Control 77 (2004), no. 9, 802--811.

Classical (1-D) system theory and operator theory

• Joseph A. Ball, Philip T.Carroll and Yoichi Uetake, Lax-Phillips scattering theory and well-posed linear systems: A coordinate-free approach, submitted, pdf
• Joseph A. Ball, Michael W. Raney, Discrete-time dichotomous well-linear systems and generalized Schur-Navanlinna-Pick interpolation, Complex Analysis and Operator Theory. 1(2007), 1--54 pdf
• Joseph A. Ball and Amol J. Sasane, Equivalence of a behavioral distance and the gap metric. Systems Control Lett. 55 (2006), no. 3, 214--222.
• Joseph A. Ball, Kalle M. Mikkola and Amol J. Sasane, State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems. SIAM J. Control Optim. 44 (2005), no. 2, 531--563 (electronic)
• Joseph A. Ball and Olof J. Staffans, Conservative state-space realizations of dissipative system behaviors. Integral Equations Operator Theory 54 (2006), no. 2, 151--213.

   

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