The Segal-Bargmann transform for path-groups

DOI10.1006/jfan.1997.3159zbMath0894.22005OpenAlexW2113091603MaRDI QIDQ1379616

Brian C. Hall, Ambar N. Sengupta

Publication date: 7 September 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3159

zbMATH Keywords

Lie groupSegal-Bargmann transformpath groups

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30)

Related Items (17)

HIDA DISTRIBUTIONS ON COMPACT LIE GROUPS ⋮ Harmonic analysis with respect to heat kernel measure ⋮ THE SEGAL–BARGMANN TRANSFORM FOR TWO-DIMENSIONAL EUCLIDEAN QUANTUM YANG–MILLS ⋮ The two-parameter free unitary Segal-Bargmann transform and its Biane-Gross-Malliavin identification ⋮ Isometry theorem for the Segal-Bargmann transform on a noncompact symmetric space of the complex type ⋮ The Segal-Bargmann transform for odd-dimensional hyperbolic spaces ⋮ The large-\(N\) limit of the Segal-Bargmann transform on \(\mathbb U_N\) ⋮ Equivalence of the Brownian and energy representations ⋮ The Taylor map on complex path groups ⋮ Square integrable holomorphic functions on infinite-dimensional Heisenberg type groups ⋮ Brown measure support and the free multiplicative Brownian motion ⋮ COHERENT STATES AND THE QUANTIZATION OF (1+1)-DIMENSIONAL YANG–MILLS THEORY ⋮ Berezin-Toeplitz quantization on Lie groups ⋮ WEIGHTED COMPOSITION OPERATORS ON THE ROTATION-INVARIANT SEGAL-BARGMANN SPACES ⋮ Coherent States for Compact Lie Groups and Their Large-N Limits ⋮ Constrained quantisation and \(\theta\)-angles. II. ⋮ The Segal-Bargmann transform for noncompact symmetric spaces of the complex type

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