12 citations · 53 across the 36 of their papers we have counts for
4 papers · 1 filter
Spectral synthesis for coadjoint orbits of nilpotent Lie groups
Ingrid Beltita, Jean Ludwig
We determine the space of primary ideals in the group algebra of a connected nilpotent Lie group by identifying for every the family of prim…
Weyl-Pedersen calculus for some semidirect products of nilpotent Lie groups
Ingrid Beltita, Daniel Beltita, Mihai Pascu
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…
Fourier transforms of -algebras of nilpotent Lie groups
Ingrid Beltita, Daniel Beltita, Jean Ludwig
For any nilpotent Lie group we provide a description of the image of its -algebra through its operator-valued Fourier transform. Specifically, we show that admits…
Coadjoint orbits of stepwise square integrable representations
Ingrid Beltita, Daniel Beltita
Nilpotent Lie groups with stepwise square integrable representations were recently investigated by J.A.~Wolf. We give an alternative approach to these representations by relating t…