论文标题
Beurling的评估定理希尔伯特模块和几个复杂变量
Beurling's Theorem for Valuation Hilbert Modules and Several Complex Variables
论文作者
论文摘要
我们开发了一种评估理论希尔伯特模块，并证明了Beurling的定理版本。然后，我们应用了Beurling定理的版本，以获取几个复杂变量的许多Hilbert Space的封闭不变子空间的完整描述，包括Polydisk the Polydisk的$ H^2 $，以及有界的对称域，以及在复杂的分析折线上加权$ A^2 $ a^2 $。
We develop a theory of Valuation Hilbert Modules and prove a version of Beurling's theorem for these. Then we apply our version of Beurling's theorem to obtain complete descriptions of the closed invariant subspaces of a number of Hilbert spaces of analytic functions in several complex variables, including $H^2$ of the polydisk the ball, and bounded symmetric domains, and weighted $A^2$ spaces on complex analytic manifolds.
