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Communications in Mathematical Physics

, Volume 149, Issue 2, pp 415–424 | Cite as

Deformation estimates for the Berezin-Toeplitz quantization

  • L. A. Coburn
Article

Abstract

Deformation estimates for the Berezin-Toeplitz quantization ofC n are obtained. These estimates justify the description of CCR+K as a first-order quantum deformation of AP+C0, where CCR is the usualC*-algebra of (boson) canonical commutation relations,K is the full algebra of compact operators, AP is the algebra of almost-periodic functions andC0 is the algebra of continuous functions which vanish at infinity.

Keywords

Neural Network Statistical Physic Continuous Function Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • L. A. Coburn
    • 1
  1. 1.Department of MathematicsState University of New York at BuffaloBuffaloUSA

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