Test functions and [tempered] distributions require the notion of topological vector space ……

Test functions and [tempered] distributions require the notion of topological vector space … distributions can be traced back to Green&rsquo;s functions in the 1830’s to solve ordinary differential equations … the 1936 work of Sergei Sobolev on hyperbolic PDE’s. Laurent Schwartz introduced the term &ldquo;distribution&rdquo; by analogy with a distribution of electrical charge, possibly including…