Coherent state transforms and vector bundles on elliptic curves.
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Publication:1421835
DOI10.1016/S0022-1236(03)00108-3zbMath1081.22005arXivmath/0206269OpenAlexW2993167861MaRDI QIDQ1421835
José M. Mourão, João Pedro Vidal Nunes, Carlos A. A. Florentino
Publication date: 3 February 2004
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0206269
Harmonic analysis on specific compact groups (43A75) Analysis on real and complex Lie groups (22E30) Applications of Lie groups to the sciences; explicit representations (22E70)
Related Items (12)
A gauge model for quantum mechanics on a stratified space ⋮ Degenerating Kähler structures and geometric quantization ⋮ Quantization of some moduli spaces of parabolic vector bundles on \({\mathbb C}{\mathbb P}^1\) ⋮ Unitarity in ``Quantization commutes with reduction ⋮ Quantization of abelian varieties: distributional sections and the transition from Kähler to real polarizations ⋮ Holomorphic Sobolev spaces and the generalized Segal-Bargmann transform ⋮ Geometric quantization, complex structures and the coherent state transform ⋮ Quantization commutes with singular reduction: Cotangent bundles of compact Lie groups ⋮ Stratified Kähler structures on adjoint quotients ⋮ Principal Schottky bundles over Riemann surfaces ⋮ The complex-time Segal-Bargmann transform ⋮ The Segal-Bargmann transform for noncompact symmetric spaces of the complex type
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