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A symbol calculus for Toeplitz operators

We give a complete characterization of those functions on 2n-dimensional Euclidean space for which the Berezin-Toeplitz quantizations admit a symbol calculus modulo the compact operators. The functions in question are characterized by a condition of “small oscillation at infinity.”

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Pubblicato in:Proc Natl Acad Sci U S A
Autori principali: Berger, C. A., Coburn, L. A.
Natura: Artigo
Lingua:Inglês
Pubblicazione: National Academy of Sciences 1986
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Accesso online:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC323453/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593695/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.83.10.3072
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