_The_ Schwartz space (of infinitely differentiable functions) is just an example of _a_ Schwartz space. The term “Schwartz space” is used for two concepts. The German Wikipedia has two articles: [Schwartz-Raum](http://de.wikipedia.org/wiki/Schwartz-Raum) and [Schwart-Raum (allgemein)](http://de.wikipedia.org/wiki/Schwartz-Raum_(allgemein)).