Positive semidefinite germs in real analytic surfaces.
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2002
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Springer
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Fernando, J. Positive semidefinite germs in real analytic surfaces. Math Ann 322, 49–67 (2002). https://doi.org/10.1007/s002080100264
Abstract
We find all real analytic surface germs in R3 on which every positive semidefinite function germ is a sum of squares (in fact, of two squares) of analytic function germs.