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math.CA2016★ 1 cited
Higher decay inequalities for multilinear oscillatory integrals
Maxim Gilula, Philip T. Gressman, Lechao Xiao
In this paper we establish sharp estimates (up to logarithmic losses) for the multilinear oscillatory integral operator studied by Phong, Stein, and Sturm and Carbery and Wright on…
math.CA2016★ 10 cited
Some Oscillatory Integral Estimates via Real Analysis
Maxim Gilula
We study oscillatory integrals in several variables with analytic, smooth, or phases satisfying a nondegeneracy condition attributed to Varchenko. With only real analytic met…