Metaplectic representation on Wiener amalgam spaces and applications to the Schrödinger equation
英文摘要：
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 $V(x)=\pm|x|^2$.
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