Stein–Strömberg theorem

The Stein–Strömberg theorem is a result in the field of harmonic analysis and complex analysis, particularly concerning the behavior of functions defined on certain sets and their Fourier transforms. It provides bounds on the integral of the exponential of a function, specifically concerning the Plancherel measure associated with it. In essence, the theorem states conditions under which the Fourier transform of a function within a specific space will be contained in another function space, highlighting the interplay between various functional spaces.