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Results tagged with polynomials
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user 979
Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.
6
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Polynomials are dense in weighted $L^2$ space
Is there any reference to this fact preferrably including the condition which property of the weight implies the density of polynomials? … My guess is that if
$$
\int_{-\infty}^{+\infty}e^{-\lambda|x|}P(dx)<\infty
$$
for some $\lambda>0$, then the polynomials are dense in $L^2(\mathbb{R},P)$. …
- 1,765