"In mathematics, a Schwartz\u2013Bruhat function, named after Laurent Schwartz and Fran\u00E7ois Bruhat, is a function on a locally compact abelian group, such as the adeles, that generalizes a Schwartz function on a real vector space. A tempered distribution is defined as a continuous linear functional on the space of Schwartz\u2013Bruhat functions."@en .