English

The wave front set of oscillatory integrals with inhomogeneous phase function

Analysis of PDEs 2011-03-15 v2 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1101.1861,
  title  = {The wave front set of oscillatory integrals with inhomogeneous phase function},
  author = {Jochen Zahn},
  journal= {arXiv preprint arXiv:1101.1861},
  year   = {2011}
}

Comments

12 pages, published version

R2 v1 2026-06-21T17:09:51.421Z