Ingrid Beltita, Daniel Beltita, Mihai Pascu
Published 2014-11-05Version 1
For certain nilpotent real Lie groups constructed as semidirect products, algebras of invariant differential operators on some coadjoint orbits are used in the study of boundedness properties of the Weyl-Pedersen calculus of their corresponding unitary irreducible representations. Our main result is applicable to all unitary irreducible representations of arbitrary 3-step nilpotent Lie groups.
Smooth vectors and Weyl-Pedersen calculus for representations of nilpotent Lie groups
Boundedness for Pseudo-Differential Calculus on Nilpotent Lie Groups
Multiplicity-free representations of certain nilpotent Lie groups over Siegel domains of the second kind
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