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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...
Maximal Oscillatory Singular Integrals with Kernels in L log L(Sn-1)
Oscillatory singular integrals Rough kernels Maximal functions
2010/2/26
In this paper, we study the Lp mapping properties of a certain class of maximal oscillatory singular integral operators. We establish the Lp boundedness of our operators provided that their kernels be...