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arXiv · 1304.2512

On the algebraic dual of D(\Omega)

Michael Oberguggenberger
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Abstract

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

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Michael Oberguggenberger. 2013-04-09. On the algebraic dual of D(\Omega). https://arxiv.org/abs/1304.2512

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