Corpus ID: 118439604

Holomorphic Methods in Mathematical Physics

@article{Hall1999HolomorphicMI,
  title={Holomorphic Methods in Mathematical Physics},
  author={B. Hall},
  journal={arXiv: Quantum Physics},
  year={1999}
}
  • 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. 
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    21 Citations
    Highly Influencial Citations
    3
    Background Citations
    8
    Methods Citations
    3
    21 Citations
    Citation Type

    Citation Type

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    Analytic Representations in Terms of d2 Coherent States using Theta Functions
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    The Segal–Bargmann transform and its generalizations
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    A Limiting Process to Invert the Gauss-Radon Transform
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    Quantisation of moduli spaces and connections
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    Quantum mechanics of null polygonal Wilson loops
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    References

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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
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    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
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    Harmonic analysis in phase space
    • 1,464
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    The Inverse Segal–Bargmann Transform for Compact Lie Groups
    • 57
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    Gaussian Measures in Banach Spaces
    • 985
    Toeplitz quantization of Kähler manifolds anggl(N), N→∞ limits
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    • PDF