Beurling–Malliavin multiplier theorem: The seventh proof
Beurling–Malliavin multiplier theorem: The seventh proof
We present a new proof of the Beurling–Malliavin theorem, often called the "multiplier theorem", concerning the existence of a real-valued function on $\mathbb {R}$ with spectrum in a given (small) interval and with a given small majorant of the modulus. This proof pertains entirely to real analysis. It only involves …