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math.AP2026
Gaussian decay for the harmonic oscillator
Manish Chaurasia
We consider the Schrödinger equation associated with the harmonic oscillator and show that if the initial data and its Fourier transform are dominated by Gaussian functions of widt…
math.CA2026
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…