English

Reflexivity of the space of transversal distributions

Functional Analysis 2026-02-06 v1

Abstract

We show that the Fr\'{e}chet space C(P)\mathord{\mathcal{C}^{\infty}}(P) of smooth functions on the total space of a surjective submersion π:PM\pi:P\to M is a reflexive Cc(M)\mathord{\mathcal{C}^{\infty}_{c}}(M)-module.

Keywords

Cite

@article{arxiv.2211.07257,
  title  = {Reflexivity of the space of transversal distributions},
  author = {Jure Kališnik},
  journal= {arXiv preprint arXiv:2211.07257},
  year   = {2026}
}