11 citations · 23 across the 4 of their papers we have counts for
5 papers
A Class of Simple Rearrangements of the Alternating Harmonic Series
Maxim Gilula
We present an easily defined countable family of permutations of the natural numbers for which explicit rearrangements (i.e., the sums induced by the permutations) can be computed.…
Oscillatory Loomis-Whitney and Projections of Sublevel Sets
Maxim Gilula, Kevin O'Neill, Lechao Xiao
We consider an oscillatory integral operator with Loomis-Whitney multilinear form. The phase is real analytic in a neighborhood of the origin in and satisfies a nond…
Decoupling in for curves with Vanishing Curvature
Chandan Biswas, Maxim Gilula, Linhan Li +2
We expand the class of curves for which the decoupling conjecture holds for . Our class of curves includes all real-analytic r…
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…
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…