The wave front set of oscillatory integrals with inhomogeneous phase function

Details The wave front set of oscillatory integrals with inhomogeneous phase function The wave front set of oscillatory integrals with inhomogeneous phase function

2011-01-10

arxiv.org/abs/1101.1861v2

Journal of Pseudo-Differential Operators and Applications 2:101-113,2011

Mathematics

Analysis of PDEs

12 pages, published version

Scientific paper

10.1007/s11868-011-0024-7

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.

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