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A remark on the Schrödinger propagator on Wiener amalgam spaces
Authors:Tomoya Kato  Naohito Tomita
Abstract:In this paper, we study the boundedness of the Schrödinger propagator urn:x-wiley:0025584X:media:mana201700445:mana201700445-math-0001 on Wiener amalgam spaces. In particular, we determine the necessary and sufficient conditions for the propagator urn:x-wiley:0025584X:media:mana201700445:mana201700445-math-0002 to be bounded from urn:x-wiley:0025584X:media:mana201700445:mana201700445-math-0003 to urn:x-wiley:0025584X:media:mana201700445:mana201700445-math-0004.
Keywords:modulation spaces  Schrö  dinger propagator  Wiener amalgam spaces  42B15  42B35
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