Metaplectic Representation on Wiener Amalgam Spaces and Applications to the Schrödinger Equation
نویسنده
چکیده
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) = ±|x|.
منابع مشابه
Remarks on a paper by Cordero and Nicola on Feichtinger’s Wiener amalgam spaces and the Schrödinger equation
We derive some consequences of very recent results of Cordero and Nicola on the metaplectic representation, the Wiener amalgam spaces, (whose definition is due to Feichtinger), and their applications to the regularity of the solutions of Schrödinger equation with quadratic Weyl symbol. We do not however discuss the validity of Cordero and Nicola’s claims.
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