I would like stimates it:

$\displaystyle | \int_{R^{n}} e^{(it|y| + i <x, y>)} u(y) dy | \leq C|t|^{-\frac{(n-1)}{2}$, for all x in R^{n}

where u is a C^{\infty} function with compact suport.

Thanks!

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- Nov 17th 2010, 01:11 PMmarcspboStationary phase estimate
I would like stimates it:

$\displaystyle | \int_{R^{n}} e^{(it|y| + i <x, y>)} u(y) dy | \leq C|t|^{-\frac{(n-1)}{2}$, for all x in R^{n}

where u is a C^{\infty} function with compact suport.

Thanks!