A Generalization of a result of Vemuri

2023/12/05 by Chaurasia, Manish
#33C45 #42B35 #44A20 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Primary 42C10 #Secondary 42C05

paper · doi:10.48550/arxiv.2312.02631

Abstract

Assuming that a function and its Fourier transform are dominated by Gaussians, a sharp estimate for the rate of exponential decay of its Hermite coefficients is obtained in terms of the variances of the dominating Gaussians.

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