Questions tagged [hermite-polynomials]
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Asymptotic form of $L^1$-norm of Hermite functions
Background
Working on a quantum mechanics problem, I've stumbled on the problem of maximizing the functional
$$\int_{A} \varphi_m \varphi_n$$
in the limit of large $m$ and $n$, given that $n \gg m$. ...
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What are the best known bounds on the Hermite polynomials?
The best I could find on the net is this paper,
http://arxiv.org/pdf/math/0401310.pdf
Has this been improved?
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Integral of product of Hermite polynomials w.r.t marginal distribution of first two-coordinate of random vector on unit-sphere
This question is related to: https://math.stackexchange.com/q/4270522/168758
Let $H_n(x) \in \mathbb R[x]$ be the probabilist's $n$th Hermite polynomial. This an $n$th degree polynomial given by the ...
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Poisson Summation Formula appears to fail when applied to Hermite Functions (why?) [duplicate]
I came across an odd circumstance where it appears as though the poisson summation formula fails to yield a correct answer (involving Hermite Functions), and I don't quite understand why this happens. ...
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