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arxiv: 0709.2907 · v5 · submitted 2007-09-18 · 🧮 math.CA

A bilinear oscillatory integral along parabolas

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keywords oscillatoryalongbilinearintegralparabolasbetaestablishestimate
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We establish an $L^\infty\times L^2 \to L^2$ norm estimate for a bilinear oscillatory integral along parabolas incorporating oscillatory factors $e^{i|t|^{-\beta}}$.

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