The l² decoupling conjecture -

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Abstract

One of the guiding principles of harmonic analysis (more precisely, restriction theory) states that a finite family of functions in a Lebesgue space Lp are almost orthogonal under certain conditions. One particular manifestation of this principle is the l² decoupling conjecture which has been solved using multilinear theory

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Thesis. M.S. American University of Beirut. Department of Mathematics, 2017. T:6605
Advisor :Dr. Bassam Shayya, Professor, Mathematics ; Committee members : Dr. Faruk Abi-Khuzam, Professor, Mathematics ; Dr. Tamer Tlas, Associate Professor, Mathematics.
Includes bibliographical references (leaf 33)

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