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Quasi-Nash varieties and Schwartz functions on them

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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 the classical properties of these spaces, that hold on Nash manifolds and real affine algebraic varieties, hold in this category as well.

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Authors and Affiliations

  1. Department of Mathematics, The Weizmann Institute of Science, Rehovot, 76100, Israel

    Boaz Elazar

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  1. Boaz Elazar
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Correspondence to Boaz Elazar.

Additional information

Supported in part by ERC StG grant 637912 and ISF grant 249/17.

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Elazar, B. Quasi-Nash varieties and Schwartz functions on them. Isr. J. Math. 232, 589–629 (2019). https://doi.org/10.1007/s11856-019-1877-3

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  • DOI: https://doi.org/10.1007/s11856-019-1877-3

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