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math.AP2024
The Schrödinger equation with fractional Laplacian on hyperbolic spaces and homogeneous trees
Jean-Philippe Anker, Guendalina Palmirotta, Yannick Sire
We investigate dispersive and Strichartz estimates for the Schrödinger equation involving the fractional Laplacian in real hyperbolic spaces and their discrete analogues, homogeneo…
math.AP2022
Solvability of invariant systems of differential equations on and beyond
Guendalina Palmirotta, Martin Olbrich
We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non-compact type can be used for questions of solvability of systems…