| Linear matrix inequality representation of sets JW Helton, V Vinnikov Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2007 | 410 | 2007 |
| Foundations of free noncommutative function theory DS Kaliuzhnyi-Verbovetskyi, V Vinnikov American Mathematical Soc., 2014 | 225 | 2014 |
| Interpolation and commutant lifting for multipliers on reproducing kernel Hilbert spaces JA Ball, TT Trent, V Vinnikov Operator Theory and Analysis: The MA Kaashoek Anniversary Volume Workshop in …, 2001 | 214 | 2001 |
| Noncommutative convexity arises from linear matrix inequalities JW Helton, SA McCullough, V Vinnikov Journal of Functional Analysis 240 (1), 105-191, 2006 | 162 | 2006 |
| Self-adjoint determinantal representations of real plane curves V Vinnikov Mathematische Annalen 296, 453-479, 1993 | 153 | 1993 |
| Theory of commuting nonselfadjoint operators MS Livsic, N Kravitsky, AS Markus, V Vinnikov Springer Science & Business Media, 2013 | 127 | 2013 |
| Complete description of determinantal representations of smooth irreducible curves V Vinnikov Linear Algebra and its Applications 125, 103-140, 1989 | 95 | 1989 |
| Lax-Phillips Scattering and Conservative Linear Systems: A Cuntz-Algebra Multidimensional Setting: A Cuntz-algebra Multidimensional Setting JA Ball, V Vinnikov American Mathematical Soc., 2005 | 78 | 2005 |
| LMI representations of convex semialgebraic sets and determinantal representations of algebraic hypersurfaces: past, present, and future V Vinnikov Mathematical Methods in Systems, Optimization, and Control: Festschrift in …, 2012 | 77 | 2012 |
| Singularities of rational functions and minimal factorizations: the noncommutative and the commutative setting DS Kaliuzhnyi-Verbovetskyi, V Vinnikov Linear Algebra and its Applications 430 (4), 869-889, 2009 | 77 | 2009 |
| Scattering systems with several evolutions and multidimensional input/state/output systems JA Ball, C Sadosky, V Vinnikov Integral Equations and Operator Theory 52, 323-393, 2005 | 67 | 2005 |
| Noncommutative rational functions, their difference-differential calculus and realizations DS Kaliuzhnyi-Verbovetskyi, V Vinnikov Multidimensional Systems and Signal Processing 23, 49-77, 2012 | 66 | 2012 |
| Formal reproducing kernel Hilbert spaces: the commutative and noncommutative settings JA Ball, V Vinnikov Reproducing kernel spaces and applications, 77-134, 2003 | 65 | 2003 |
| Noncommutative reproducing kernel Hilbert spaces JA Ball, G Marx, V Vinnikov Journal of Functional Analysis 271 (7), 1844-1920, 2016 | 60 | 2016 |
| Zero-pole interpolation for matrix meromorphic functions on a compact Riemann surface and a matrix Fay trisecant identity JA Ball, V Vinnikov American journal of mathematics 121 (4), 841-888, 1999 | 56 | 1999 |
| Classes of tuples of commuting contractions satisfying the multivariable von Neumann inequality A Grinshpan, DS Kaliuzhnyi-Verbovetskyi, V Vinnikov, HJ Woerdeman Journal of Functional Analysis 256 (9), 3035-3054, 2009 | 52 | 2009 |
| Zero-pole interpolation for meromophic matrix functions on an algebraic curve and transfer functions of 2D systems JA Ball, V Vinnikov Acta Applicandae Mathematica 45, 239-316, 1996 | 52 | 1996 |
| Interpolation and transfer-function realization for the noncommutative Schur–Agler class JA Ball, G Marx, V Vinnikov Operator Theory in Different Settings and Related Applications: 26th IWOTA …, 2018 | 51 | 2018 |
| Non-commutative functions and the non-commutative free Lévy–Hinčin formula M Popa, V Vinnikov Advances in Mathematics 236, 131-157, 2013 | 51 | 2013 |
| Convex matrix inequalities versus linear matrix inequalities JW Helton, S McCullough, M Putinar, V Vinnikov IEEE transactions on automatic control 54 (5), 952-964, 2009 | 47 | 2009 |
