ω-超可微函数D_*中的Paley-Wiener定理

The Paley-Wiener Theorem in Ultradifferentiable Functions Space D_*

在许多学者得到的重要结果的基础上,文章利用Fourier-Laplace变换对BeurLing型ω-超可微函数空间D{ω}和Rumieu型ω-型可微函数D{ω}进行了讨论,并且给出了D*中的Paley-Wiener定理.

In many scholars have based on the results of the important,the Beurling type ω-Ultradifferentiable Function and Roumieu type ω-Ultradifferentiable Function are discussed, and the paley-wiener theorem in ultradifferentiable functions space Dω is obtained.