Jean Bourgain (source code)

= Jean Bourgain
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Jean Bourgain proved the <decoupling inequality> with <Ciprian Demeter>. Their theorem controls a function with Fourier support near a curved hypersurface through contributions from smaller frequency caps. The result connects curvature with improved summation estimates, with applications to restriction and <Strichartz estimate for the free Schrödinger equation>.<The proof of the l2 Decoupling Conjecture by Jean Bourgain and Ciprian Demeter>[Abstract and Theorem 1.1]{ref}