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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Toeplitz operators on the Segal-Bargmann space


Authors: C. A. Berger and L. A. Coburn
Journal: Trans. Amer. Math. Soc. 301 (1987), 813-829
MSC: Primary 47B35; Secondary 81D07
MathSciNet review: 882716
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Abstract: In this paper, 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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DOI: http://dx.doi.org/10.1090/S0002-9947-1987-0882716-4
PII: S 0002-9947(1987)0882716-4
Article copyright: © Copyright 1987 American Mathematical Society