Metaplectic representation on Wiener amalgam spaces and applications to the Schrödinger equation

Abstract

We study the action of metaplectic operators on Wiener amalgam spaces, giving upper bounds for their norms. As an application, we obtain new fixed-time estimates in these spaces for Schrödinger equations with general quadratic Hamiltonians and Strichartz estimates for the Schrödinger equation with potentials $V(x)=\pm |x{|}^2$.

Cited by in corpus (2)

• Some new Strichartz estimates for the Schrödinger equation
• Remarks on a paper by Cordero and Nicola on Feichtinger's Wiener amalgam spaces and the Schroedinger equation