The large-\(N\) limit of the Segal-Bargmann transform on \(\mathbb U_N\)
From MaRDI portal
Publication:2440963
DOI10.1016/j.jfa.2013.07.020zbMath1286.22010arXiv1305.2406OpenAlexW2122532480MaRDI QIDQ2440963
Brian C. Hall, Bruce K. Driver, Todd Kemp
Publication date: 21 March 2014
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1305.2406
Related Items (22)
Heat kernel empirical laws on \({\mathrm {U}}_N\) and \({\mathrm {GL}}_N\) ⋮ The two-parameter free unitary Segal-Bargmann transform and its Biane-Gross-Malliavin identification ⋮ Universality classes for general random matrix flows ⋮ An elementary approach to free entropy theory for convex potentials ⋮ Reproducing kernels: harmonic analysis and some of their applications ⋮ Itô's formula for noncommutative \(C^2\) functions of free Itô processes ⋮ Generalized Fock spaces and the Stirling numbers ⋮ Tracial smooth functions of non-commuting variables and the free Wasserstein manifold ⋮ The Brown measure of a family of free multiplicative Brownian motions ⋮ Large-\(N\) limit of the Segal-Bargmann transforms on the spheres ⋮ Holomorphic functions and the Itô chaos ⋮ On the free convolution with a free multiplicative analogue of the normal distribution ⋮ The spectral edge of unitary Brownian motion ⋮ Three proofs of the Makeenko-Migdal equation for Yang-Mills theory on the plane ⋮ The Makeenko-Migdal equation for Yang-Mills theory on compact surfaces ⋮ Brown measure support and the free multiplicative Brownian motion ⋮ The large-\(N\) limit for two-dimensional Yang-Mills theory ⋮ The Segal-Bargmann transform on classical matrix Lie groups ⋮ PDE Methods in Random Matrix Theory ⋮ Convergence of the empirical spectral measure of unitary Brownian motion ⋮ Fluctuations of Brownian motions on \(\mathbb{GL}_N\) ⋮ The complex-time Segal-Bargmann transform
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Wigner chaos and the fourth moment
- Segal-Bargmann transform, functional calculus on matrix spaces and the theory of semi-circular and circular systems
- Mathematical characterization of the physical vacuum for a linear Bose- Einstein field
- Holomorphic functions and subelliptic heat kernels over Lie groups
- Lie groups and algebras with applications to physics, geometry, and mechanics
- Stochastic calculus with respect to free Brownian motion and analysis on Wigner space
- Yang-Mills theory and the Segal-Bargmann transform
- The Segal-Bargmann ``coherent state transform for compact Lie groups
- Combinatorial properties of Brownian motion on the compact classical groups
- The Segal-Bargmann transform for path-groups
- Holomorphic functions and the heat kernel measure on an infinite dimensional complex orthogonal group
- On the Kakutani-Itô-Segal-Gross and Segal-Bargmann-Hall isomorphisms
- Heat kernel analysis of Cameron-Martin subgroup for infinite dimensional groups
- Uniqueness of ground states for Schrödinger operators over loop groups
- Free convolution operators and free Hall transform
- On a Hilbert space of analytic functions and an associated integral transform part I
- REMARKS ON A HILBERT SPACE OF ANALYTIC FUNCTIONS
- A New Form of the Segal-Bargmann Transform for Lie Groups of Compact Type
- Characterizations of pseudodifferential operators on the circle
- A proof of a theorem on commutative matrices
- Lie groups
- Free diffusions, free entropy and free Fisher information
This page was built for publication: The large-\(N\) limit of the Segal-Bargmann transform on \(\mathbb U_N\)
