In particular, MfP is bounded if f is measurable and. (If12)-is bounded. We thank William Arveson, Rodger Howe, Richard Rochberg, Ir- ving Segal, and William ...
Proc. Natl. Acad. Sci. USA Vol. 83, pp. 3072-3073, May 1986 Mathematics
A symbol calculus for Toeplitz operators (pseudodifferential operators/quantization)
C. A. BERGERt AND L. A. COBURNt tDepartment of Mathematics and Computer Science, Lehman College of the City University of New York, Bronx, NY 10468; and tDepartment of Mathematics, State University of New York, Buffalo, NY 14214
Communicated by I. E. Segal, January 6, 1986
We also have the function algebras:
We give a complete characterization of those ABSTRACT 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."
