Hypoellipticity and cohomological induction

In this contribution, we utilize these results on compact, semisimple, and nilpotent groups to study the case in which G is any connected Lie group with nilpotent radical.. L is

Particularising in the setting of a large class of nilpotent Lie groups; namely on the class of graded Lie groups, to the best of our knowledge, the development of a

be shown that Gaussian measures on simply connected nilpotent Lie groups have exactly one embedding c.c.s.. In [ 1 ], it has been shown that Gaussian probability measures on Aff (1)

The unitary dual space of Euclidean motion groups is homeomorphic to the admissible coadjoint orbits [8].. This result was generalized in [1], for a class of Cartan

In the following we mean by a general Lie group G a finite dimensional real, separable, locally compact, connected and simply connected Lie group for which the set

In [13] the Mostow condition was studied for simply connected almost Abelian Lie groups and the first Betti number of a compact quotient of a simply connected almost Abelian Lie

Pap [14] proved the uniqueness property for the Gaussian semigroups among all Gaussian semigroups on simply connected nilpotent Lie groups, gen- eralizing the corresponding result

In this doctoral thesis, the structure of the C ∗ -algebras of connected real two-step nilpotent Lie groups and the structure of the C ∗ -algebra of the Lie group SL(2, R) will