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Journal of the Ramanujan Mathematical Society

Volume 40, Issue 1, March 2025  pp. 23–28.

A generalization of a result of Vemuri

Authors:  Manish Chaurasia
Author institution:Department of Mathematical Sciences, IIT (BHU), Varanasi 221 005.

Summary:  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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