Free Pick functions: representations, asymptotic behavior and matrix monotonicity in several noncommuting variables JE Pascoe, R Tully-Doyle
Journal of functional analysis 273 (1), 283-328, 2017
39 2017 The inverse function theorem and the Jacobian conjecture for free analysis JE Pascoe
Mathematische Zeitschrift 278, 987-994, 2014
32 2014 Derivatives of rational inner functions: geometry of singularities and integrability at the boundary K Bickel, JE Pascoe, A Sola
Proceedings of the London Mathematical Society 116 (2), 281-329, 2018
20 2018 Regular and positive noncommutative rational functions I Klep, JE Pascoe, J Volčič
Journal of the London Mathematical Society 95 (2), 613-632, 2017
18 2017 An inductive Julia-Carathéodory theorem for Pick functions in two variables JE Pascoe
Proceedings of the Edinburgh Mathematical Society 61 (3), 647-660, 2018
15 2018 The royal road to automatic noncommutative real analyticity, monotonicity, and convexity JE Pascoe, R Tully-Doyle
Advances in Mathematics 407, 108548, 2022
14 2022 Singularities of rational inner functions in higher dimensions K Bickel, JE Pascoe, A Sola
American Journal of Mathematics 144 (4), 1115-1157, 2022
14 2022 Representation of free Herglotz functions JE Pascoe, B Passer, R Tully-Doyle
Indiana University Mathematics Journal 68 (4), 1199-1215, 2019
13 2019 Level curve portraits of rational inner functions K Bickel, JE Pascoe, A Sola
arXiv preprint arXiv:1803.04666, 2018
13 2018 Positivstellensätze for noncommutative rational expressions J Pascoe
Proceedings of the American Mathematical Society 146 (3), 933-937, 2018
12 2018 The outer spectral radius and dynamics of completely positive maps JE Pascoe
Israel Journal of Mathematics 244, 945-969, 2021
11 2021 The noncommutative Löwner theorem for matrix monotone functions over operator systems JE Pascoe
Linear Algebra and its Applications 541, 54-59, 2018
11 2018 A wedge‐of‐the‐edge theorem: analytic continuation of multivariable Pick functions in and around the boundary JE Pascoe
Bulletin of the London Mathematical Society 49 (5), 916-925, 2017
11 2017 Positive univariate trace polynomials I Klep, JE Pascoe, J Volčič
Journal of Algebra 579, 303-317, 2021
9 2021 Noncommutative Partial Convexity Via -Convexity M Jury, I Klep, ME Mancuso, S McCullough, JE Pascoe
The Journal of Geometric Analysis 31 (3), 3137-3160, 2021
9 2021 Free functions with symmetry D Cushing, JE Pascoe, R Tully-Doyle
Mathematische Zeitschrift 289, 837-857, 2018
9 2018 Effective noncommutative Nevanlinna-Pick interpolation in the row ball, and applications M Augat, MT Jury, JE Pascoe
Journal of Mathematical Analysis and Applications 492 (2), 124457, 2020
8 2020 Cauchy transforms arising from homomorphic conditional expectations parametrize noncommutative pick functions JE Pascoe, R Tully-Doyle
Journal of Mathematical Analysis and Applications 472 (2), 1487-1498, 2019
8 2019 Noncommutative free universal monodromy, pluriharmonic conjugates, and plurisubharmonicity JE Pascoe
arXiv preprint arXiv:2002.07801, 2020
7 2020 An elementary method to compute the algebra generated by some given matrices and its dimension JE Pascoe
Linear Algebra and its Applications 571, 132-142, 2019
7 2019