Tempered distributions and Schwartz functions on definable manifolds

17 Jan 2020 Shaviv Ary

We define the spaces of Schwartz functions, tempered functions and tempered distributions on manifolds definable in polynomially bounded o-minimal structures. We show that all the classical properties that these spaces have in the Nash category, as first studied in Fokko du Cloux's work, also hold in this generalized setting... (read more)

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Categories


  • REPRESENTATION THEORY
  • FUNCTIONAL ANALYSIS
  • GEOMETRIC TOPOLOGY