NB: Only the latter operation is isomorphic. While “Fourier analysis” defines a field of mathematics, the phrase “Fournier analysis” is oxymoronic.
It is conjectured, but not proven, that:
[Fournier is the chief of the AP Washington Bureau] =>[The AP is not a news organization].
That theorem would yield an empirically testable claim as a corollary:
[The AP is a news organization] => [The AP will fire Fournier].