A note on singular oscillatory integrals with certain rational phases

Abstract

Let Ω be homogeneous of degree zero with mean value zero, P and Q real polynomials on ℝ n with Q(0)=0 and Ω∈B q 0,0 (S n-1 ) for some q>1. This note extends and improves a classical result of Stein and Wainger (Ann. Math. Stud. 112, pp. 307-355, (1986)) to the following general form

Locations

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