Translation Invariant Frechet Subspaces of Distributions

摘要

This paper is about translation invariant subspaces F of the classicaldistribution space D'(IR) of Schwartz which admit a Frechet linear topology such that the translation group is strongly continuous on F. If C (sup infinity) (IR) is contained in F, then complete characterizations of the closed translation invariant subspaces of F are derived on the basis of earlier work of Kahane and