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A bilinear oscillatory integral along parabolas

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Abstract

We establish an \(L^\infty \times L^2 \rightarrow L^2\) norm estimate for a bilinear oscillatory integral operator along parabolas incorporating oscillatory factors \(e^{i|t|^{-\beta}}\).

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Correspondence to Dashan Fan.

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The first author was partially supported by NSF grant of China grant 10671079. The second author was supported by NSF grant DMS-0456976.

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Fan, D., Li, X. A bilinear oscillatory integral along parabolas. Positivity 13, 339–366 (2009). https://doi.org/10.1007/s11117-008-2270-3

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  • DOI: https://doi.org/10.1007/s11117-008-2270-3

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