Convolution operators on standard CR-manifolds. II: Algebras of convolution operators on the Heisenberg group

DOI10.1007/BF01203669zbMath0829.43006OpenAlexW2069274141MaRDI QIDQ1333088

Nikolai L. Vasilevski

Publication date: 13 September 1994

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01203669

zbMATH Keywords

Toeplitz operatorsconvolution operator algebrasDauns-Hofmann constructiongeneral local principle for \(C^*\)- algebras

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Measure algebras on groups, semigroups, etc. (43A10)

Related Items (5)

Connection between two-sided and one-sided convolution type operators on non-commutative groups ⋮ \(C^*\)-algebras generated by orthogonal projections and their applications ⋮ Cross-Toeplitz operators on the Fock-Segal-Bargmann spaces and two-sided convolutions on the Heisenberg group ⋮ Noncommutative geometry and classification of elliptic operators ⋮ Pseudodifferential operators on stratified manifolds

Cites Work

• Elliptic pseudo-differential operators - an abstract theory
• Harmonic analysis of a nilpotent group and function theory on Siegel domains of type II
• Nilpotent Lie groups: Structure and applications to analysis
• Toeplitz operators in \(n\)-dimensions
• Harmonic Analysis in Phase Space. (AM-122)
• Representation of rings by sections
• Representations of algebras by continuous sections
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