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Projective descriptions of spaces of functions and distributions

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  • Christian Bargetz
  • Eduard A. Nigsch
  • Norbert Ortner

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.

Suggested Citation

  • Christian Bargetz & Eduard A. Nigsch & Norbert Ortner, 2023. "Projective descriptions of spaces of functions and distributions," Mathematische Nachrichten, Wiley Blackwell, vol. 296(3), pages 915-937, March.
    • Handle: RePEc:bla:mathna:v:296:y:2023:i:3:p:915-937
    DOI: 10.1002/mana.202100526
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