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math.AP2012
Sub-Finsler geometry and finite propagation speed
Michael G. Cowling, Alessio Martini
We prove a number of results on the geometry associated to the solutions of evolution equations given by first-order differential operators on manifolds. In particular, we consider…
math.AP2012
Weighted Plancherel estimates and sharp spectral multipliers for the Grushin operators
Alessio Martini, Adam Sikora
We study the Grushin operators acting on and defined by the formula \[ L=-\sum_{\jone=1}^{d_1}\partial_{x'_\jone}^2 - (\sum_{\jone=1}^{d_1}|x'_\…