English

Schwartz functions on quasi-Nash varieties

Algebraic Geometry 2017-11-17 v1

Abstract

We introduce a new category called Quasi-Nash, unifying Nash manifolds and algebraic varieties. We define Schwartz functions, tempered functions and tempered distributions in this category. We show that properties that hold on affine spaces, Nash manifolds and algebraic varieties, also hold in this category.

Keywords

Cite

@article{arxiv.1711.05804,
  title  = {Schwartz functions on quasi-Nash varieties},
  author = {Boaz Elazar},
  journal= {arXiv preprint arXiv:1711.05804},
  year   = {2017}
}

Comments

27 pages, 2 figures

R2 v1 2026-06-22T22:47:26.581Z