Nonreversibility of subsemigroups of semi-simple 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...
Noyau de Cauchy-Szegö d'un espace symétrique de type Cayley
Dans cet article, en utilisant les algèbres de Jordan euclidiennes, nous étudions l’espace de Hardy d’un espace symétrique de type Cayley . Nous montrons que le noyau de Cauchy-Szegö de s’exprime comme somme d’une série faisant intervenir la fonction de Harish-Chandra de l’espace symétrique riemannien , la fonction de l’espace symétrique -dual de et les fonctions sphériques de l’espace symétrique ordonné . Nous établissons, dans le cas où la dimension de l’algèbre de Jordan associée...
Old and New on S1(2).
On Artin L-Functions Associated to Hilbert Modular Forms of Weight One.
On bounded generalized Harish-Chandra modules
Let be a complex reductive Lie algebra and be any reductive in subalgebra. We call a -module bounded if the -multiplicities of are uniformly bounded. In this paper we initiate a general study of simple bounded -modules. We prove a strong necessary condition for a subalgebra to be bounded (Corollary 4.6), i.e. to admit an infinite-dimensional simple bounded -module, and then establish a sufficient condition for a subalgebra to be bounded (Theorem 5.1). As a result we are able to...
On finite dimensional representations of non-connected reductive groups.
On hierarchy of the positioned eco-grammar systems
Positioned eco-grammar systems (PEG systems, for short) were introduced in our previous papers. In this paper we engage in a new field of research, the hierarchy of PEG systems, namely in the hierarchy of the PEG systems according to the number of agents presented in the environment and according to the number of types of agents in the system.
On Kazhdan's property (T) and Kazhdan constants associated to a Laplacian for SL(3,R).
On limit multiplicities of discrete series representations in spaces of automorphic forms.
On l-independence of algebraic monodromy groups in compatible systems of representations.
On Rossmann's Character Formula for Discrete Series.
On semitopological compactifications of nonabelian groups.
On Singular Holomorphic Representations.
On some degenerate principal series representations of .
On Some Semi-Spherical Representations of an Hermitian Symmetrie Pair of the Tubular Type. II. Construction of the Unitary Representations.
On Some Semi-Spherical Representations of an Hermitian Symmetric Pair of the Tubular Type. Study in the Symmetric Algebra.
On some series of representations related to symmetric spaces
On Stein extensions of real symmetric spaces.
On subsemigroups of semisimple Lie groups