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Communications in Mathematical Physics

, Volume 164, Issue 3, pp 563–597 | Cite as

The Berezin transform and invariant differential operators

  • A. Unterberger
  • H. Upmeier
Article

Abstract

The Berezin calculus is important to quantum mechanics (creation-annihilation operators) and operator theory (Toeplitz operators). We study the basic Berezin transform (linking the contravariant and covariant symbol) for all bounded symmetric domains, and express it in terms of invariant differential operators.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Differential Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • A. Unterberger
    • 1
  • H. Upmeier
    • 2
  1. 1.Département de MathématiquesUniversité de ReimsReims CedexFrance
  2. 2.Department of MathematicsUniversity of KansasLawrenceUSA

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