English

The Weyl Transform of a smooth measure on a real-analytic submanifold

Classical Analysis and ODEs 2025-07-09 v1 Functional Analysis

Abstract

If μ\mu is a smooth measure supported on a real-analytic submanifold of R2n\mathbb{R}^{2n} which is not contained in any affine hyperplane, then the Weyl transform of μ\mu is a compact operator.

Keywords

Cite

@article{arxiv.2406.03128,
  title  = {The Weyl Transform of a smooth measure on a real-analytic submanifold},
  author = {Mansi Mishra and M. K. Vemuri},
  journal= {arXiv preprint arXiv:2406.03128},
  year   = {2025}
}