Ruixiang Zhang
UC Berkeley
A stationary set method for estimating oscillatory integrals
May 19, 2022
https://ubc.zoom.us/j/68361900578?pwd=UkNHUzZMMkZoT0VJOFlVSWhDR0gzQT09
Given a polynomial $P$ of constant degree in $d$ variables and consider the oscillatory integral $$I_P = \int_{[0,1]^d} e(P(\xi)) \mathrm{d}\xi.$$ Assuming $d$ is also fixed, what is a good upper bound of $|I_P|$? In this talk, I will introduce a ``stationary set'' method that ...
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