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arXiv · 2107.12840

Sum of squares I: scalar functions

Lyudmila Korobenko·Eric T. Sawyer
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Abstract

This is the first in a series of three papers dealing with sums of squares and hypoellipticity in the infinite regime. We give a sharp sufficient condition on a smooth nonnegative function f on n-dimensional Euclidean space so that it can be written as a finite sum of squares of C^2,delta functions. Special consideration is given to analyzing the case when f vanishes only at the origin, answering a question of Bony et al.

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Lyudmila Korobenko, Eric T. Sawyer. 2021-07-27. Sum of squares I: scalar functions. https://arxiv.org/abs/2107.12840

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