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Results tagged with fa.functional-analysis
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user 127701
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Can a positive polynomial on sphere be represented as the sum of squares of spherical harmonics
Let $p\in {\mathbb{R}}[x_1,\ldots, x_d]$ be a homogenous polynomial degree $2n$. We know that if $p$ is positive on $[-\pi,\pi]^d$, $p$ is sum of squares polynomial, i.e. $p$ can be witten as sum of s …
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