Representation of free Herglotz functions
DOI10.1512/iumj.2019.68.7730zbMath1440.46055arXiv1607.00407OpenAlexW2473854360WikidataQ127307636 ScholiaQ127307636MaRDI QIDQ4972827
Benjamin Passer, Ryan Tully-Doyle, James Eldred Pascoe
Publication date: 27 November 2019
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1607.00407
Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Functional analysis techniques applied to functions of several complex variables (32A70)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nevanlinna representations in several variables
- Operator-valued monotone convolution semigroups and an extension of the Bercovici-Pata bijection.
- Free probability theory. And its avatars in representation theory, random matrices, and operator algebras; also featuring: non-commutative distributions
- Free Pick functions: representations, asymptotic behavior and matrix monotonicity in several noncommuting variables
- Free pluriharmonic majorants and commutant lifting
- Interpolation and transfer-function realization for the noncommutative Schur-Agler class
- Analytic function theory for operator-valued free probability
- Foundations of Free Noncommutative Function Theory
- Free Products of C ∗ -Algebras
- Rigid Stone Spaces within ZFC
- Global Holomorphic Functions in Several Noncommuting Variables
- B-Valued free convolution for unbounded operators
- Theory of operator algebras I.
This page was built for publication: Representation of free Herglotz functions