paper

The wave front set of oscillatory integrals with inhomogeneous phase function

arXiv:1101.1861 · doi:10.1007/s11868-011-0024-7

Abstract

A generalized notion of oscillatory integrals that allows for inhomogeneous phase functions of arbitrary positive order is introduced. The wave front set of the resulting distributions is characterized in a way that generalizes the well-known result for phase functions that are homogeneous of order one.

12 pages, published version