局部凸空间中Fourier变换的同构

Isomorphism of Fourier Transformation in Locally Convex Spaces

讨论了向量值的Fourier变换在半范意义下保持同构,得出了Fourier变换是VL_2(R)上的同构映照.

In this paper, We study the isomorphism of the Fourier transformation in locally convex spaces,and draw the conclusion that Fourier transformation is the isomorphic mapping in VL2(R).