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math.AP2022★ 1 cited
On heat equations associated with fractional harmonic oscillators
Divyang G. Bhimani, Ramesh Manna, Fabio Nicola +2
We establish some fixed-time decay estimates in Lebesgue spaces for the fractional heat propagator , , associated with the harmonic oscillator . We…
math.FA2022★ 1 cited
Stability of the scattering transform for deformations with minimal regularity
Fabio Nicola, S. Ivan Trapasso
Within the mathematical analysis of deep convolutional neural networks, the wavelet scattering transform introduced by Stéphane Mallat is a unique example of how the ideas of multi…