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arXiv · 1101.1861

The wave front set of oscillatory integrals with inhomogeneous phase function

Jochen Zahn
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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.

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Jochen Zahn. 2011-03-14. The wave front set of oscillatory integrals with inhomogeneous phase function. https://doi.org/10.1007/s11868-011-0024-7

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