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arXiv · 1304.2512

On the algebraic dual of D(Ω)

Michael Oberguggenberger
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Abstract

This paper is concerned with the algebraic dual D*(Ω) of the space of test functions D(Ω). The emphasis is on failures and successes of D*(Ω) as compared to the continuous dual D'(Ω), the space of distributions. Topological properties, operations with elements of D*(Ω) and applications to linear partial differential equations are discussed.

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Michael Oberguggenberger. 2019-03-15. On the algebraic dual of D(Ω). https://arxiv.org/abs/1304.2512

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