Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems
From MaRDI portal
Publication:674742
DOI10.1006/jfan.1996.2990zbMath0889.47013OpenAlexW1995657343MaRDI QIDQ674742
Publication date: 2 June 1998
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1996.2990
Hermitian matricescomplex matricesfunctional calculusSegal-Bargmann transformHall transformHardy space of the diskVoiculescu's theory of circular and semi-circular systemsWigner's semi-circle distribution
Related Items (50)
Central limit theorems for the brownian motion on large unitary groups ⋮ Hypercontractivity in non-commutative holomorphic spaces ⋮ The generalized master fields ⋮ Heat kernel empirical laws on \({\mathrm {U}}_N\) and \({\mathrm {GL}}_N\) ⋮ Harmonic analysis with respect to heat kernel measure ⋮ On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices ⋮ Spectral distribution of the free Jacobi process, revisited ⋮ \({\mathcal{R}}\)-diagonal dilation semigroups ⋮ Spectral Distribution of the Free Unitary Brownian Motion: Another Approach ⋮ The two-parameter free unitary Segal-Bargmann transform and its Biane-Gross-Malliavin identification ⋮ Universality classes for general random matrix flows ⋮ Segal-Bargmann transform: the \(q\)-deformation ⋮ Almost all quantum channels are equidistant ⋮ An elementary approach to free entropy theory for convex potentials ⋮ Inverse of the flow and moments of the free Jacobi process associated with one projection ⋮ The Segal-Bargmann transform for path-groups ⋮ Log-unimodality for free positive multiplicative Brownian motion ⋮ A metric characterization of freeness ⋮ Local law and rigidity for unitary Brownian motion ⋮ The Brown measure of a family of free multiplicative Brownian motions ⋮ Quantum free Yang-Mills on the plane ⋮ Brown measures of free circular and multiplicative Brownian motions with self-adjoint and unitary initial conditions ⋮ Large-\(N\) limit of the Segal-Bargmann transforms on the spheres ⋮ On the free convolution with a free multiplicative analogue of the normal distribution ⋮ The large-\(N\) limit of the Segal-Bargmann transform on \(\mathbb U_N\) ⋮ Free convolution operators and free Hall transform ⋮ Local limit theorems for multiplicative free convolutions ⋮ On the supports of measures in free multiplicative convolution semigroups ⋮ Free monotone transport ⋮ Strong Haagerup inequalities for free \(\mathfrak R\)-diagonal elements ⋮ The spectral edge of unitary Brownian motion ⋮ A continuous semigroup of notions of independence between the classical and the free one ⋮ Schur-Weyl duality and the heat kernel measure on the unitary group ⋮ Brown measure support and the free multiplicative Brownian motion ⋮ Remarks on free mutual information and orbital free entropy ⋮ Radial Bargmann representation for the Fock space of type B ⋮ Free energies and fluctuations for the unitary Brownian motion ⋮ The large-\(N\) limit for two-dimensional Yang-Mills theory ⋮ Coherent States for Compact Lie Groups and Their Large-N Limits ⋮ The Segal-Bargmann transform on classical matrix Lie groups ⋮ PDE Methods in Random Matrix Theory ⋮ ANALYTIC CHARACTERIZATION OF ONE-MODE INTERACTING FOCK SPACE ⋮ Support of the Brown measure of the product of a free unitary Brownian motion by a free self-adjoint projection ⋮ Convergence of the empirical spectral measure of unitary Brownian motion ⋮ Fluctuations of Brownian motions on \(\mathbb{GL}_N\) ⋮ The simplex of tracial quantum symmetric states ⋮ The Brown measure of the free multiplicative Brownian motion ⋮ The complex-time Segal-Bargmann transform ⋮ Monotone increment processes, classical Markov processes, and Loewner chains ⋮ Free Jacobi process associated with one projection: local inverse of the flow
This page was built for publication: Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems