Weighted orbital integrals on
Weighted Plancherel formula. Irreducible unitary representations and eigenspace representations.
Weil representations of for a locally profinite ring with involution.
Well Bounded Semigroups in Locally Compact Groups.
Well-bounded semigroups in connected groups.
Weyl group of a cuspidal parabolic
Weyl, H., Theorie der Darstellung kontinuierlcher halb-einfacher Gruppen durch lineare Transformationen. I
Weyl quantization for principal series.
Weyl quantization for the semidirect product of a compact Lie group and a vector space
Let be the semidirect product where is a semisimple compact connected Lie group acting linearly on a finite-dimensional real vector space . Let be a coadjoint orbit of associated by the Kirillov-Kostant method of orbits with a unitary irreducible representation of . We consider the case when the corresponding little group is the centralizer of a torus of . By dequantizing a suitable realization of on a Hilbert space of functions on where , we construct a symplectomorphism between...
When is there a discontinuous homomorphism from L¹(G)?
Let A be an A*-algebra with enveloping C*-algebra C*(A). We show that, under certain conditions, a homomorphism from C*(A) into a Banach algebra is continuous if and only if its restriction to A is continuous. We apply this result to the question in the title.
When the intrinsic algebraic entropy is not really intrinsic
The intrinsic algebraic entropy ent(ɸ) of an endomorphism ɸ of an Abelian group G can be computed using fully inert subgroups of ɸ-invariant sections of G, instead of the whole family of ɸ-inert subgroups. For a class of groups containing the groups of finite rank, aswell as those groupswhich are trajectories of finitely generated subgroups, it is proved that only fully inert subgroups of the group itself are needed to comput ent(ɸ). Examples show how the situation may be quite different outside...
When unit groups of continuous inverse algebras are regular Lie groups
It is a basic fact in infinite-dimensional Lie theory that the unit group of a continuous inverse algebra A is a Lie group. We describe criteria ensuring that the Lie group is regular in Milnor’s sense. Notably, is regular if A is Mackey-complete and locally m-convex.
Whitney-type theorems on extension of functions on Carnot groups.
Whittaker and Bessel functors for
The theory of Whittaker functors for is an essential technical tools in Gaitsgory’s proof of the Vanishing Conjecture appearing in the geometric Langlands correspondence. We define Whittaker functors for and study their properties. These functors correspond to the maximal parabolic subgroup of , whose unipotent radical is not commutative.We also study similar functors corresponding to the Siegel parabolic subgroup of , they are related with Bessel models for and Waldspurger models for .We...
Whittaker functions, prehomogeneous vector spaces and standard representations of p-adic groups.
Whittaker models, nilpotent orbits and the asymptotics of Harish-Chandra modules
Whittaker transforms on real-rank one Lie groups
Whittaker vectors and associated varieties.
Whittaker-Orthogonal models, functionariality and the Rankin-Selberg method.
Whittaker-Shintani functions on the symplectic group of Fourier-Jacobi type