Weyl symbols and boundedness of Toeplitz operators

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TitreWeyl symbols and boundedness of Toeplitz operators
Type de publicationJournal Article
Year of Publication2021
AuteursCoburn L, Hitrik M, Sjostrand J, White F
JournalMATHEMATICAL RESEARCH LETTERS
Volume28
Pagination681-696
Type of ArticleArticle
ISSN1073-2780
Résumé

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.