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arXiv · 2109.14448

Projective descriptions of spaces of functions and distributions

Christian Bargetz·Eduard A. Nigsch·Norbert Ortner
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Abstract

We present projective descriptions of classical spaces of functions and distributions. More precisely, we provide descriptions of these spaces by semi-norms which are defined by a combination of classical norms and multiplication or convolution with certain functions. These seminorms are simpler than the ones given by a supremum over bounded or compact sets.

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Christian Bargetz, Eduard A. Nigsch, Norbert Ortner. 2021-09-29. Projective descriptions of spaces of functions and distributions. https://arxiv.org/abs/2109.14448

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