Toeplitz operators on the segal-bargmann space

C. A. Berger; L. A. Coburn

doi:10.1090/S0002-9947-1987-0882716-4

Toeplitz operators on the segal-bargmann space

C. A. Berger
, L. A. Coburn

Mathematics

City University of New York

Research output: Contribution to journal › Article › peer-review

186 Scopus citations

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”.

Original language	English
Pages (from-to)	813-829
Number of pages	17
Journal	Transactions of the American Mathematical Society
Volume	301
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1987-0882716-4
State	Published - Jun 1987

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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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Toeplitz operators on the segal-bargmann space

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