论文标题
伪差和傅立叶操作员的映射属性
Mapping properties of pseudodifferential and Fourier operators
论文作者
论文摘要
$ \ mathbb {r}^n $与合适的pseudoDifferential运算符中的傅立叶变换的组成称为傅立叶运算符。它在适当的功能空间中紧凑。该论文涉及其光谱理论。这是基于在上一篇论文中开发的傅立叶变换的映射属性以及对假数算子的相关断言。
The composition of the Fourier transform in $\mathbb{R}^n$ with a suitable pseudodifferential operator is called a Fourier operator. It is compact in appropriate function spaces. The paper deals with its spectral theory. This is based on mapping properties of the Fourier transform as developed in a preceding paper and related assertions for pseudodifferential operators.
