论文标题

复杂的FIO和Toeplitz操作员的组成

Complex FIOs and composition of Toeplitz operators

论文作者

Coburn, Lewis, Hitrik, Michael, Sjoestrand, Johannes

论文摘要

我们从Bargmann空间上研究了Toeplitz运算符,从复杂域中的傅立叶积分运算符的角度来看,这些符号是复杂二次形式的指数。建立了足够的条件,可以使两个此类操作员组成成为托管操作员。

We study Toeplitz operators on the Bargmann space, with Toeplitz symbols that are exponentials of complex quadratic forms, from the point of view of Fourier integral operators in the complex domain. Sufficient conditions are established for the composition of two such operators to be a Toeplitz operator.

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