The Weyl calculus for hermitian matrices

DOI10.1090/S0002-9939-96-03143-7zbMath0848.47014OpenAlexW1820962727MaRDI QIDQ4874310

Brian R. F. Jefferies

Publication date: 16 October 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03143-7

zbMATH Keywords

distributionWeyl calculusfunctional calculushermitian matrixsystem of hermitian operators

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Functional calculus for linear operators (47A60) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (6)

Differential properties of the numerical range map of pairs of matrices ⋮ A generalisation of the Cauchy integral formula for normal matrices ⋮ Applications of the monogenic functional calculus for noncommuting systems of operators ⋮ The Weyl calculus and a Cayley-Hamilton theorem for pairs of selfadjoint matrices ⋮ Lacunas in the Support of the Weyl Calculus for Two Hermitian Matrices ⋮ Matrix coefficients and coadjoint orbits of compact Lie groups

Cites Work

• Unnamed Item
• The Weyl functional calculus
• Functions of Several Self-Adjoint Operators
• Operants: A Functional Calculus for Non-Commuting Operators

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