English

Exact Fourier inversion formula over manifolds

Analysis of PDEs 2023-10-11 v3

Abstract

We show an exact (i.e. no smooth error terms) Fourier inversion type formula for differential operators over Riemannian manifolds. This provides a coordinate free approach for the theory of pseudo-differential operators.

Keywords

Cite

@article{arxiv.1407.8428,
  title  = {Exact Fourier inversion formula over manifolds},
  author = {Nefton Pali},
  journal= {arXiv preprint arXiv:1407.8428},
  year   = {2023}
}

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R2 v1 2026-06-22T05:17:37.941Z