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Results tagged with sums-of-squares
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user 88133
1
vote
The relationship between the symmetric tensor product and sum of squares
No, it's not true.
First of all, if $V$ is a vector space spanned by monomials of some degree $d$,
then $V$ is a vector space of (homogeneous) polynomials (of degree $d$).
Then $\operatorname{Sym}^2(V …
- 6,237
7
votes
Accepted
Can a positive polynomial on sphere be represented as the sum of squares of spherical harmonics
This Wikipedia page has many references: https://en.wikipedia.org/wiki/Positive_polynomial, including for example
Marshall, Murray Positive polynomials and sums of squares. Mathematical Surveys and …
- 6,237