2
$\begingroup$

I would like to approximate the following integral for large $t$ :

$I(t)=\int_0^{\pi}dx f(x)e^{iS(x)t}$

$S$ is real and $S'(0)=S'(\pi)=0$.

$f$ is real and $f(0)=f(\pi)=0$ and $f'(0)=f'(\pi)=0$.

Can one do this for this type of integral?

Thank you.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.