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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...
Local Zeta Functions and Oscillatory Integrals for Non-degenerate Laurent Polynomials Over p-adic Fields
exponential sums mod p p-adic oscillatory integrals Laurent polynomials
2010/12/8
In this article, we study exponential sums mod p m, or more generally,p-adic oscillatory integrals attached to Laurent polynomials which are non-degenerate with respect to its Newton polytope at infin...
Some bounds for certain highly oscillatory integrals
Oscillatory integrals Filon method error bounds
2010/9/10
The classic standard integration rules usually give inaccurate results for highly oscillatory integrals of the form ∞1 tr−1f(t) sin (αtr)dt, r ≥ 1, where f is any real valued function in C1[1,∞...