Distributions via seminorms and Frölicher spaces (Q2733931)

The space of compactly supported smooth functions on \(\mathbb R^n\) is endowed with the initial Frölicher space structure inherited from the Fréchet space \(C^\infty(\mathbb R^n,\mathbb R)\). Then \(F\)-distributions are defined as the smooth (not necessarily linear) functions on that space. An embedding of the compactly supported smooth functions into this space of distributions is constructed as usual and operations for such distributions are discussed.NEWLINENEWLINEFor the entire collection see [Zbl 0966.00031].