Mellin transforms of Whittaker functions
Methode des orbites pour les representations de longueur finie.
Mixed models for reductive dual pairs and Siegel domains for Hermitian symmetric spaces.
More about embeddings of almost homogeneous Heisenberg groups.
Multiplicity Formulae for Discrete Series.
Multiplicity-free complex manifolds.
Multiplier Representations of Exponential Lie Groups.
New models for the action of Hecke operators in spaces of Maass wave forms
Utilizing the theory of the Poisson transform, we develop some new concrete models for the Hecke theory in a space of Maass forms with eigenvalue on a congruence subgroup . We introduce the field so that consists entirely of algebraic numbers if .The main result of the paper is the following. For a packet of Hecke eigenvalues occurring in we then have that either every is algebraic over , or else will – for some – occur in the first cohomology of a certain space which is a...
Non linear representations of Lie groups
Non-commutative moment problems.
Non-Discrete Uniform Subgroups of Semisimple Lie Groups.
Norm estimates for unitarizable highest weight modules
We consider families of unitarizable highest weight modules on a halfline . All these modules can be realized as vector valued holomorphic functions on a bounded symmetric domain , and the polynomial functions form a dense subset of each module , . In this paper we compare the norm of a fixed polynomial in two Hilbert spaces corresponding to two different parameters. As an application we obtain that for all the module of hyperfunction vectors can be realized as the space of all holomorphic...
On a Class of KMS States for the Unitary Group U (oo).
On Analytic Vectors for Unitary Representations of Infinite Dimensional Lie Groups
Let be a connected and simply connected Banach–Lie group. On the complex enveloping algebra of its Lie algebra we define the concept of an analytic functional and show that every positive analytic functional is integrable in the sense that it is of the form for an analytic vector of a unitary representation of . On the way to this result we derive criteria for the integrability of -representations of infinite dimensional Lie algebras of unbounded operators to unitary group representations.For...
On Characters and Asymptotics of Representations of a Real Reductive Lie Group.
On integrability of discrete representations of Lie algebra
On Integrable Representations of a Semisimple Lie Group.
On Kirillov's conjecture for archimedean fields
On Local Central Lacunary Sets for Compact Lie Groups.
On observable subgroups of complex analytic groups and algebraic structures on analytic homogeneous spaces.