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On Trilinear Oscillatory Integrals
Trilinear Oscillatory Integrals Classical Analysis and ODEs
2011/9/5
Abstract: We examine a certain class of trilinear integral operators which incorporate oscillatory factors e^{iP}, where P is a real-valued polynomial, and prove smallness of such integrals in the pre...
Multilinear Oscillatory Integrals Via Reduction of Dimension
Multilinear Oscillatory Integrals Reduction of Dimension Classical Analysis and ODEs
2011/9/5
Abstract: Christ, Li, Tao, and Thiele have established multilinear oscillatory integral operator inequalities under severe dimensional restrictions. These restrictions are relaxed substantially in the...