Chiara Taranto

Chiara Taranto
Imperial College London | Imperial · Department of Mathematics

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3
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12
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Introduction
Chiara Taranto currently works at the Department of Mathematics, Imperial College London. Chiara does research in Algebra, Analysis and Geometry and Topology. Their most recent publication is 'Time-dependent wave equations on graded groups'.

Publications

Publications (3)
Preprint
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In this paper, we define and study Gevrey spaces in a subelliptic setting, that is, associated with a H\"ormander family of vector fields and their corresponding sub-Laplacian. We show some natural relations between the various Gevrey spaces in this setting on general manifolds, and more particular properties on Lie groups with polynomial growth of...
Article
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The overall goal of this dissertation is to investigate certain classical results from harmonic analysis, replacing the Euclidean setting, the abelian structure and the elliptic Laplace operator with a non-commutative environment and hypoelliptic operators. More specifically, we consider wave equations for hypoelliptic homogeneous left-invariant op...
Article
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In this paper we consider the wave equations for hypoelliptic homogeneous left-invariant operators on graded Lie groups with time-dependent H\"older propagation speeds. The examples are the time-dependent wave equation for the sub-Laplacian on the Heisenberg group or on general stratified Lie groups, or $p$-evolution equations for higher order oper...

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