Generalized Weyl correspondence and Moyal multiplier algebras

DOI10.1007/s11232-012-0119-1zbMath1280.81138OpenAlexW1978420391MaRDI QIDQ394875

M. A. Solov'ev

Publication date: 28 January 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-012-0119-1

zbMATH Keywords

generalized functionstar productWigner-Moyal transformWeyl-Heisenberg groupnoncommutative field theoryWeyl symboltopological *-algebra

Mathematics Subject Classification ID

Noncommutative geometry methods in quantum field theory (81T75) Applications of selfadjoint operator algebras to physics (46L60) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Deformation quantization, star products (53D55) Topological linear spaces of test functions, distributions and ultradistributions (46F05) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (7)

Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory ⋮ Spaces of type \(S\) and deformation quantization ⋮ Characterization of the Moyal multiplier algebras for the generalized spaces of type \(S\) ⋮ Inclusion theorems for the Moyal multiplier algebras of generalized Gelfand-Shilov spaces ⋮ Algebras with convergent star products and their representations in Hilbert spaces ⋮ Spaces of type \(S\) as topological algebras under twisted convolution and star product ⋮ Star products on symplectic vector spaces: convergence, representations, and extensions

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