6533b7d8fe1ef96bd126a431
RESEARCH PRODUCT
Weyl symbols and boundedness of Toeplitz operators
Francis WhiteL. A. CoburnJohannes SjöstrandMichael Hitriksubject
Mathematics::Functional AnalysisMathematics - Complex VariablesMathematics::Operator AlgebrasGeneral Mathematics010102 general mathematicsMathematics::Classical Analysis and ODEs32U05 32W25 35S30 47B3501 natural sciencesToeplitz matrixFunctional Analysis (math.FA)AlgebraMathematics - Functional AnalysisFOS: MathematicsComputer Science::Symbolic Computation0101 mathematicsComplex Variables (math.CV)[MATH]Mathematics [math]Mathematicsdescription
International audience; We study Toeplitz operators on the Bargmann space, with Toeplitz symbols that are exponentials of inhomogeneous quadratic polynomials. It is shown that the boundedness of such operators is implied by the boundedness of the corresponding Weyl symbols.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-07-13 |