2022
DOI: 10.48550/arxiv.2203.06571
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Higher order transversality in harmonic analysis

Abstract: In differential topology two smooth submanifolds S 1 and S 2 of euclidean space are said to be transverse if the tangent spaces at each common point together form a spanning set. The purpose of this article is to explore a much more general notion of transversality pertaining to a collection of submanifolds of euclidean space. In particular, we show that three seemingly different concepts of transversality arising naturally in harmonic analysis, are in fact equivalent. This result is an amalgamation of several… Show more

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