Resumen de Split functions, Fourier transforms and multipliers

Laura De Carli, Steve Hudson

• We study the L^p norm of the Fourier transform of S_t\!f, where S_t is a splitting operator. If m is a Fourier multiplier, we also study the operator norm of S_t m. Most of our results assume p is an even integer. They are often stronger when f or m has compact support.