On the Hermite expansions of functions from Hardy class by
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چکیده
Considering functions f on Rn for which both f and f̂ are bounded by the Gaussian e 1 2 a|x| , 0 < a < 1 we show that their Fourier-Hermite coefficients have exponential decay. Optimal decay is obtained for O(n)−finite functions thus extending the one dimensional result of Vemuri [11].
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تاریخ انتشار 2009