We characterize in terms of Fourier spectrum the boundary values of functions in the complex Hardy spaces <!-- MATH $H^p(\mathbb{C}_\pm), 1\leq p\leq \infty.$ --> As an application we extend the Bedrosian identity, originally stated for square-integrable functions, to the <!-- MATH $L^{p}(\mathbb{R})$ --> cases.
28 June 2013 in Mathematical Methods in the Applied Sciences