Effective structure theorems for spaces of compactly supported distributions
نویسندگان
چکیده
In this paper we investigate the effective content of the structure theorem for the space E ′ of distributions with compact support. We show that each of the four characterisations of the space of distributions with compact support given in the structure theorem (below) gives rise to an effective domain representation of E ′. To show that the structure theorem has effective content, we study the reducibility properties of these four domain representations. We also employ the same method to prove an effective version of a similar structure theorem for the space of distributions supported at the origin.
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