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Toeplitz operators on the Segal-Bargmann space. (English) Zbl 0625.47019

The authors 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”.

MSC:

47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
81S10 Geometry and quantization, symplectic methods
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