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Estimates for matrix coefficients of representations
Tommaso Bruno, Michael G. Cowling, Fabio Nicola +1
Estimates for matrix coefficients of unitary representations of semisimple Lie groups have been studied for a long time, starting with the seminal work by Bargmann, by Ehrenpreis a…
On the Riesz Transforms for the inverse Gauss measure
Tommaso Bruno, Peter Sjögren
Let be the absolutely continuous measure on whose density is the reciprocal of a Gaussian function. Let further be the natural self-adjoint La…
Potential spaces on Lie groups
Tommaso Bruno, Marco M. Peloso, Maria Vallarino
In this paper we discuss function spaces on a general noncompact Lie group, namely the scales of Triebel--Lizorkin and Besov spaces, defined in terms of a sub-Laplacian with drift.…
Besov and Triebel--Lizorkin spaces on Lie groups
Tommaso Bruno, Marco M. Peloso, Maria Vallarino
In this paper we develop a theory of Besov and Triebel--Lizorkin spaces on general noncompact Lie groups endowed with a sub-Riemannian structure. Such spaces are defined by means o…