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The Rate of Convergence of Hermite Function Series
Let $\alpha > 0$ be the least upper bound of $\gamma$ for which \[ f(z) \sim O({e^{ - q|z|\gamma }})\] for some positive constant q as $|z| \to \infty$ on the real axis. It is then proved that at least an infinite subsequence of the coefficients $\{ {a_n}\}$ in \[ …