Special cases of power decay in multilinear oscillatory integrals

10 Apr 2019 · Dong Dong, Maldague Dominique, Villano Dominick ·

We use tools from the multilinear oscillatory integral program developed by Christ, Li, Thiele, and Tao to treat special cases which are not covered by existing theory. Consideration of special cases leads to an extended class of examples for which $\lambda$-power decay holds.