Weyl and ordered calculus of noncommuting operators

DOI10.1007/BF01142081zbMath0466.47013MaRDI QIDQ1155229

Mikhail V. Karasev

Publication date: 1979

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Weyl calculuspseudodifferential operatorcommutation formulasordered operator calculus

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Commutators, derivations, elementary operators, etc. (47B47) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items

Symplectic areas, quantization, and dynamics in electromagnetic fields, Poisson manifolds and the Schouten bracket, Algebras with general commutation relations and their applications. II. Unitary-nonlinear operator equations, Hyperbolic systems with multiplicity greater than or equal to three, Advances in quantization: quantum tensors, explicit star-products, and restriction to irreducible leaves, Averaging and spectral bands for the 2-D magnetic Schrödinger operator with growing and one-direction periodic potential, A noncommutative Taylor formula and functions of triangle operators

Cites Work

• Algebras with general commutation relations and their applications. II. Unitary-nonlinear operator equations
• The Weyl functional calculus
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