Corpus ID: 118439604

Holomorphic Methods in Mathematical Physics

  title={Holomorphic Methods in Mathematical Physics},
  author={B. Hall},
  journal={arXiv: Quantum Physics},
  • B. Hall
  • Published 1999
  • Mathematics, Physics
  • arXiv: Quantum Physics
  • This set of lecture notes gives an introduction to holomorphic function spaces as used in mathematical physics. The emphasis is on the Segal-Bargmann space and the canonical commutation relations. Later sections describe more advanced topics such as the Segal-Bargmann transform for compact Lie groups and the infinite-dimensional theory. 
    21 Citations
    Path Integrals on Euclidean Space Forms
    • 1
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    Holomorphic Path Integrals in Tangent Space for Flat Manifolds
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    Analytic Representations in Terms of d2 Coherent States using Theta Functions
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    A Limiting Process to Invert the Gauss-Radon Transform
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    Non-perturbative Deformation Quantization of Cartan Domains
    • 67
    • Highly Influential
    Quantum Riemann surfaces I. The unit disc
    • 129
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    Coherent states, Yang-Mills theory, and reduction
    • 3
    • PDF
    A New Form of the Segal-Bargmann Transform for Lie Groups of Compact Type
    • 37
    • PDF
    Yang–Mills Theory and the Segal–Bargmann Transform
    • 70
    • PDF
    Harmonic analysis in phase space
    • 1,464
    • Highly Influential
    The Inverse Segal–Bargmann Transform for Compact Lie Groups
    • 57
    • PDF
    Gaussian Measures in Banach Spaces
    • 985