Metaplectic representation on Wiener amalgam spaces and applications to the Schrödinger equation |
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| Authors: | Elena Cordero |
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| Affiliation: | a Department of Mathematics, University of Torino, Italy
b Dipartimento di Matematica, Politecnico di Torino, Italy |
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| 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)=±2|x|. |
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| Keywords: | Metaplectic representation Wiener amalgam spaces Modulation spaces Schrö dinger equation with quadratic Hamiltonians |
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