In this paper, we study irreducible unitary representations of GLn(R) and prove a number of results. Our first result establishes a precise connection between the annihilator of a representation and the existence of degenerate Whittaker functionals, thereby generalizing results of Kostant, Matumoto and others. Our second result relates the annihilator to the sequence of adduced representations,...

We propose ODPOP, a new distributed algorithm for open multiagent combinatorial optimization that feature unbounded domains (Faltings & Macho-Gonzalez 2005). The ODPOP algorithm explores the same search space as the dynamic programming algorithm DPOP (Petcu & Faltings 2005b) or ADOPT (Modi et al. 2005), but does so in an incremental, best-first fashion suitable for open problems. ODPOP has seve...

This paper proves a finiteness result for families of integral points on a semiabelian variety minus a divisor, generalizing the corresponding result of Faltings for abelian varieties. Combined with the main theorem of the first part of this paper, this gives a finiteness statement for integral points on a closed subvariety of a semiabelian variety, minus a divisor. In addition, the last two se...

In this note we study some aspects of a paper of G. Faltings and G. Wüstholz [7]. In particular, we work out a quantitative version of their main theorem. Our result even gives an explicit presentation of the structure for the exceptional subspaces of [24]. For a generic projective variety we obtain double exponential estimates. However, knowing more about the geometry of the given variety one ...

Let Λ be a lattice in an n-dimensional Euclidean space E and let Λ be a Minkowskian sublattice of Λ, that is, a sublattice having a basis made of representatives for the Minkowski successive minima of Λ. We extend the classification of possible Z/dZ-codes of the quotients Λ/Λ to dimension 9, where dZ is the annihilator of Λ/Λ.

We prove that the notions of finite strict singularity, strict singularity and weak compactness coincide for operators defined on various spaces: the disc algebra, subspaces of C(K) with reflexive annihilator and subspaces of the Morse-TransueOrlicz space Mq (Ω, μ) with q > 2.