A New Form of the Segal-Bargmann Transform for Lie Groups of Compact Type
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Publication:4266459
DOI10.4153/CJM-1999-035-3zbMath0931.22006WikidataQ115215138 ScholiaQ115215138MaRDI QIDQ4266459
Publication date: 23 February 2000
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Analysis on real and complex Lie groups (22E30) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items (17)
Heat kernel empirical laws on \({\mathrm {U}}_N\) and \({\mathrm {GL}}_N\) ⋮ Harmonic analysis with respect to heat kernel measure ⋮ The two-parameter free unitary Segal-Bargmann transform and its Biane-Gross-Malliavin identification ⋮ Segal-Bargmann transform: the \(q\)-deformation ⋮ Isometry theorem for the Segal-Bargmann transform on a noncompact symmetric space of the complex type ⋮ 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 ⋮ The large-\(N\) limit of the Segal-Bargmann transform on \(\mathbb U_N\) ⋮ 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 ⋮ The Brown measure of the sum of a self-adjoint element and an elliptic element ⋮ The complex-time Segal-Bargmann transform ⋮ The Segal-Bargmann transform for noncompact symmetric spaces of the complex type ⋮ Quasi-invariance for the pinned Brownian motion on a Lie group. ⋮ Bounds on the Segal-Bargmann transform of \(L^p\) functions
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