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 | 40 | 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 | 21 | 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 | 16 | 2018 |
The royal road to automatic noncommutative real analyticity, monotonicity, and convexity JE Pascoe, R Tully-Doyle Advances in Mathematics 407, 108548, 2022 | 15 | 2022 |
Singularities of rational inner functions in higher dimensions K Bickel, JE Pascoe, A Sola American Journal of Mathematics 144 (4), 1115-1157, 2022 | 15 | 2022 |
Level curve portraits of rational inner functions K Bickel, JE Pascoe, A Sola arXiv preprint arXiv:1803.04666, 2018 | 14 | 2018 |
Positivstellensätze for noncommutative rational expressions J Pascoe Proceedings of the American Mathematical Society 146 (3), 933-937, 2018 | 14 | 2018 |
The outer spectral radius and dynamics of completely positive maps JE Pascoe Israel Journal of Mathematics 244, 945-969, 2021 | 13 | 2021 |
Representation of free Herglotz functions JE Pascoe, B Passer, R Tully-Doyle Indiana University Mathematics Journal 68 (4), 1199-1215, 2019 | 13 | 2019 |
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 |
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 | 8 | 2019 |
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 |
The Julia-Carathéodory theorem on the bidisk revisited JE McCarthy, JE Pascoe Acta Scientiarum Mathematicarum 83 (1), 165-175, 2017 | 8 | 2017 |