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

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

2007-05-07

arxiv.org/abs/0705.0920v1

Mathematics

Functional Analysis

Scientific paper

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 Schr\"odinger equations with general quadratic
Hamiltonians and Strichartz estimates for the Schr\"odinger equation with
potentials $V(x)=\pm|x|^2$.

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