Characterizations of algebras of rapidly decreasing generalized functions

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

The well-known characterizations of Schwartz space $\mathcal{S}$ of rapidly
decreasing functions is extended to the algebra $\mathcal{G}_{\mathcal{S}}$ of
rapidly decreasing generalized functions and to the algebra $\mathcal{G}_{%
\mathcal{S}}^{\infty}$ of regular rapidly decreasing generalized functions.

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