Projective descriptions of spaces of functions and distributions

Christian Bargetz, Eduard A. Nigsch and Norbert Ortner

Mathematische Nachrichten, 2023, vol. 296, issue 3, 915-937

Abstract: We present projective descriptions of classical spaces of functions and distributions. More precisely, we provide descriptions of these spaces by seminorms, 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.

Date: 2023
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https://doi.org/10.1002/mana.202100526

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