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arXiv:2109.14448 [math.FA]AbstractReferencesReviewsResources

Projective descriptions of spaces of functions and distributions

Christian Bargetz, Eduard A. Nigsch, Norbert Ortner

Published 2021-09-29, updated 2022-01-25Version 2

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.

Comments: 26 pages
Categories: math.FA
Subjects: 46F05, 46E10, 46A13, 46E35, 46A50, 46B50
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