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Estimates on modulation spaces for Schrödinger evolution operators with quadratic and sub-quadratic potentials |
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| Authors: | Keiichi Kato Masaharu Kobayashi Shingo Ito |
| Affiliation: | 1. Department of Mathematics, Faculty of Science, Tokyo University of Science, Kagurazaka 1-3, Shinjuku-ku, Tokyo 162-8601, Japan;2. Department of Mathematical Sciences, Faculty of Science, Yamagata University, Kojirakawa 1-4-12, Yamagata-City, Yamagata 990-8560, Japan;3. College of Liberal Arts and Sciences, Kitasato University, Kitasato 1-15-1, Minami-ku, Sagamihara, Kanagawa 252-0373, Japan |
| Abstract: | In this paper we give new estimates for the solution to the Schrödinger equation with quadratic and sub-quadratic potentials in the framework of modulation spaces. |
| Keywords: | Schrö dinger equation Modulation space Wave packet transform |
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