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The Weyl correspondence as a functional calculus for non-commuting operators

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Publication:734579
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DOI10.1216/RMJ-2009-39-5-1467zbMath1178.47009MaRDI QIDQ734579

Michael S. Eydenberg

Publication date: 13 October 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Weyl calculussemigroupspseudodifferential operators


Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Pseudodifferential operators (47G30)




Cites Work

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  • Time dependent stability for Feynman's operational calculus
  • Functional calculus for non-commuting operators with real spectra via an iterated Cauchy formula
  • Polynomially bounded \(C_0\)-semigroups
  • The Weyl functional calculus
  • Harmonic Analysis in Phase Space. (AM-122)
  • FEYNMAN'S OPERATIONAL CALCULI FOR NONCOMMUTING OPERATORS: SPECTRAL THEORY
  • Functions of Several Self-Adjoint Operators
  • Operants: A Functional Calculus for Non-Commuting Operators
  • Theory of operator algebras I.


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