Schwartz functions on quasi-Nash varieties

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.

27 pages, 2 figures

References in corpus (1)

• Schwartz functions on Nash manifolds