The multiplicative Weyl functional calculus

DOI10.1016/0022-1236(72)90019-5zbMath0239.47010OpenAlexW1996972803MaRDI QIDQ2553628

Robert F. V. Anderson

Publication date: 1972

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(72)90019-5

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Linear symmetric and selfadjoint operators (unbounded) (47B25) Schrödinger operator, Schrödinger equation (35J10) Nilpotent and solvable Lie groups (22E25)

Related Items (11)

New real-variable characterizations of Hardy spaces associated with twisted convolution ⋮ Hardy-Sobolev spaces associated with twisted convolution ⋮ The magnetic Weyl calculus ⋮ Molecular characterization of Hardy spaces associated with twisted convolution ⋮ Algebras of distributions suitable for phase-space quantum mechanics. I ⋮ Algebras of distributions suitable for phase-space quantum mechanics. II. Topologies on the Moyal algebra ⋮ A Hardy space associated with twisted convolution ⋮ An evolution equation in phase space and the Weyl correspondence ⋮ Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups ⋮ SOME CHARACTERIZATIONS OF HARDY SPACES ASSOCIATED WITH TWISTED CONVOLUTION ⋮ Boundedness for Pseudo-differential Calculus on Nilpotent Lie Groups

Cites Work

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• Approximation of semi-groups of operators
• \(C^ *\)-algèbres des systèmes canoniques. I
• The Weyl functional calculus
• On the Weyl functional calculus
• Mathematical Aspects of the Weyl Correspondence
• Transforms for Operators and Symplectic Automorphisms over a Locally Compact Abelian Group.
• Lie Group Dynamical Formalism and the Relation between Quantum Mechanics and Classical Mechanics

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