Schwartz functions on real algebraic varieties
Algebraic Geometry
2018-07-31 v1 Representation Theory
Abstract
We define Schwartz functions, tempered functions and tempered distributions on (possibly singular) real algebraic varieties. We prove that all classical properties of these spaces, defined previously on affine spaces and on Nash manifolds, also hold in the case of affine real algebraic varieties, and give partial results for the non-affine case.
Cite
@article{arxiv.1701.07334,
title = {Schwartz functions on real algebraic varieties},
author = {Boaz Elazar and Ary Shaviv},
journal= {arXiv preprint arXiv:1701.07334},
year = {2018}
}