4 papers · 1 filter
Hermite expansions of functions from the weighted Hardy class
Satyajyoti Achar, Manish Chaurasia, Ramesh Manna
In this paper, we analyze a function space consisting of functions for which both the function and its Fourier transform exhibit Gaussian decay together with exponential growth gov…
On the Carlitz-Mehler formula for Hermite polynomials
Manish Chaurasia
Carlitz proved a few generalizations of Mehler's formula. Later, Srivastava et al. gave a new proof for some extensions of Carlitz's formula. Here, a direct proof of the further ge…
A Generalization of a result of Vemuri
Manish Chaurasia
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 o…
On pair correlation of Hermite coefficients of functions from the Hardy class
Manish Chaurasia
Assuming that a function and its Fourier transform are dominated by a Gaussian, Vemuri found a sharp estimate for the decay rate of the Hermite coefficients in terms of the varianc…