Abstract
We establish a Strichartz type estimate for the Schrödinger propagator e itℒ for the special Hermite operator ℒ on ℂn. Our method relies on a regularization technique. We show that no admissibility condition is required on (q,p) when 1≤q≤2.
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Communicated by Robert S. Strichartz.
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Ratnakumar, P.K. On Schrödinger Propagator for the Special Hermite Operator. J Fourier Anal Appl 14, 286–300 (2008). https://doi.org/10.1007/s00041-008-9007-3
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DOI: https://doi.org/10.1007/s00041-008-9007-3