60 citations · 582 across the 67 of their papers we have counts for
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math.FA2010★ 25 cited
Analysis of joint spectral multipliers on Lie groups of polynomial growth
Alessio Martini
We study the problem of L^p-boundedness (1 < p < \infty) of operators of the form m(L_1,...,L_n) for a commuting system of self-adjoint left-invariant differential operators L_1,..…
math.FA2010★ 28 cited
Spectral theory for commutative algebras of differential operators on Lie groups
Alessio Martini
The joint spectral theory of a system of pairwise commuting self-adjoint left-invariant differential operators L_1,...,L_n on a connected Lie group G is studied, under the hypothes…
math.FA2010★ 30 cited
Algebras of differential operators on Lie groups and spectral multipliers
Alessio Martini
This thesis is devoted to the study of joint spectral multipliers for a system of pairwise commuting, self-adjoint left-invariant differential operators L_1,...,L_n on a connected…