Benedicks and Donoho-Stark type theorems

Abstract

In this paper, we prove a Benedicks type theorem and a Donoho-Stark type theorem, for the generalized Fourier transform Fα associated to some differential operators that we call Flensted-Jensen operators, in various spaces such L 1 α(K), L 2 α(K) and L 1 α(K) ∩ L 2 α(K), where K = R+ × R.