On the Kakutani-Itô-Segal-Gross and Segal-Bargmann-Hall Isomorphisms

Bruce K. Driver

Type: Article

Publication Date: 1995-10-01

Citations: 57

DOI: https://doi.org/10.1006/jfan.1995.1120

View Publication

Locations

Journal of Functional Analysis - View

Similar Works

Action	Title	Year	Authors
+	The Segal-Bargmann "Coherent State" Transform for Compact Lie Groups	1994	Brian C. Hall
+	The Segal--Bargmann transform in noncommutative probability	2018	Ching Wei Ho
+ PDF Chat	Leonard Gross's work in infinite-dimensional analysis and heat kernel analysis	2008	Brian C. Hall
+ PDF Chat	The complex-time Segal–Bargmann transform	2019	Bruce K. Driver Brian C. Hall Todd Kemp
+	The Segal–Bargmann Transform on a Symmetric Space of Compact Type	1999	Matthew B. Stenzel
+ PDF Chat	Berezin–Toeplitz quantization on Lie groups	2008	Brian C. Hall
+	The Complex-Time Segal-Bargmann Transform	2016	Bruce K. Driver Brian K. Hall Todd Kemp
+	The holomorphic Peter-Weyl theorem and the Blattner-Kostant-Sternberg pairing	2006	Johannes Huebschmann
+	On Segal-Bargmann analysis for finite Coxeter groups and its heat kernel	2009	Stephen Bruce Sontz
+	Harmonic analysis with respect to heat kernel measure	2000	Brian C. Hall
+ PDF Chat	THE SEGAL-BARGMANN TRANSFORM FOR COMPACT QUOTIENTS OF SYMMETRIC SPACES OF THE COMPLEX TYPE	2012	Brian C. Hall Jeffrey J. Mitchell
+	The Segal-Bargmann transform for compact quotients of symmetric spaces of the complex type	2007	Brian C. Hall Jeffrey J. Mitchell
+	The Complex-Time Segal-Bargmann Transform.	2016	Bruce K. Driver Brian C. Hall Todd Kemp
+	THE μ-DEFORMED SEGAL–BARGMANN TRANSFORM IS A HALL TYPE TRANSFORM	2009	Stephen Bruce Sontz
+	The Segal-Bargmann transform for compact quotients of symmetric spaces of the complex type	2007	Brian C. Hall Jeffrey J. Mitchell
+ PDF Chat	The Heat Semigroup in the Compact Heckman-Opdam Setting and the Segal-Bargmann Transform	2010	Heiko Remling Margit Rösler
+	On the reproducing kernel of the Segal-Bargmann space	1999	Stephen Bruce Sontz
+	Segal-Bargmann transform and holomorphic Sobolev spaces of fractional order	2020	Sundaram Thangavelu
+	Hilbert-Schmidt Hankel operators on the Segal-Bargmann space	2004	Wolfram Bauer
+	The $μ$-deformed Segal-Bargmann transform is a Hall type transform	2007	Stephen Bruce Sontz

Works That Cite This (55)

Action	Title	Year	Authors
+	None	2002	Jeffrey J. Mitchell
+ PDF Chat	A subelliptic Taylor isomorphism on infinite-dimensional Heisenberg groups	2011	Maria Gordina Tai Melcher
+	Segal-Bargmann transforms from hyperbolic Hamiltonians	2019	William D. Kirwin José M. Mourão João P. Nunes Thomas Thiemann
+	Holomorphic fractional Fourier transforms	2019	William D. Kirwin José M. Mourão João P. Nunes Thomas Thiemann
+ PDF Chat	Hall's transformation via quantum stochastic calculus	1998	Paula B. Cohen R. L. Hudson K. R. Parthasarathy Sylvia Pulmannová
+	Polar decomposition and isometric integral transforms∗	2000	Shunlong Luo
+ PDF Chat	Geometric Quantization¶and the Generalized Segal--Bargmann Transform¶for Lie Groups of Compact Type	2002	Brian C. Hall
+	Free convolution operators and free Hall transform	2013	Guillaume Cébron
+ PDF Chat	Segal-Bargmann transforms from hyperbolic Hamiltonians	2021	William D. Kirwin José M. Mourão João P. Nunes Thomas Thiemann
+	Heat Kernel Analysis and Cameron–Martin Subgroup for Infinite Dimensional Groups	2000	Maria Gordina

Works Cited by This (0)

Action	Title	Year	Authors