David P. Kimsey

activity

20142026

most citedThe spectral theorem for quaternionic unbounded normal operators based on the S-spectrum

5 citations · 13 across the 14 of their papers we have counts for

collaborators

Showing 2025Show all

2 papers · 1 filter

math.CV2025

Orthogonal Polynomials, Verblunsky Coefficients, and a Szegő-Verblunsky Theorem on the Unit Sphere in $C^{d}$

Connor J. Gauntlett, David P. Kimsey

Given a measure $μ$ on the unit sphere $\partial B^{d}$ in $C^{d}$ with Lebesgue decomposition $d μ = w d σ + d μ_{s}$ , with respect to the rotation-i…

math.FA2025

A Noncommutative Szegő-Type Theorem on the Row-Ball

Connor J. Gauntlett, David P. Kimsey

In this paper we leverage the recently developed theory of noncommutative (nc) measures to prove a free noncommutative analogue of many known equalities extending the weak Szegő li…

Orthogonal Polynomials, Verblunsky Coefficients, and a Szegő-Verblunsky Theorem on the Unit Sphere in Cd

A Noncommutative Szegő-Type Theorem on the Row-Ball

Orthogonal Polynomials, Verblunsky Coefficients, and a Szegő-Verblunsky Theorem on the Unit Sphere in $C^{d}$