Group convolution operators on standard CR-manifolds. I: Structural properties
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Publication:1329556
DOI10.1007/BF01202291zbMath0829.43005OpenAlexW2059954444MaRDI QIDQ1329556
R. Trujillo, Nikolai L. Vasilevski
Publication date: 17 January 1996
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01202291
Hardy spacevon Neumann algebraconvolution operatorsshift operatorsWeyl symbolsSiegel domainsSzegö projectorstandard CR-manifolds
Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Measure algebras on groups, semigroups, etc. (43A10)
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Group convolution operators on standard CR-manifolds. I: Structural properties ⋮ Local algebras of two-sided convolutions on the Heisenberg group ⋮ 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 ⋮ Relative convolutions. I: Properties and applications
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