Ditkin's Theorem and ...SIN...-Groups.
Divergent trajectories of flows on homogeneous spaces and Diophantine approximation.
Division Rings and Group von Neumann Algebras.
Domains of Integral Transformations on General Measure Spaces.
Double Coset Decompositions and Computational Harmonic Analysis on Groups.
Doubly stochastic right multipliers.
Drury's lemma and Helson sets
Dual algebras.
Dual Banach algebras and Connes-amenability.
Dual spaces and translation invariant means on group von Neumann algebras
Let G be a locally compact group. Its dual space, G*, is the set of all extreme points of the set of normalized continuous positive definite functions of G. In the early 1970s, Granirer and Rudin proved independently that if G is amenable as discrete, then G is discrete if and only if all the translation invariant means on are topologically invariant. In this paper, we define and study G*-translation operators on VN(G) via G* and investigate the problem of the existence of G*-translation invariant...
Dualité, et transformation de Fourier -adiques
Dualité et transformation de Fourier p-adiques
Duals of Orbit Spaces in Groups With Relatively Compact Inner Automorphism Groups Are Hypergroups.
Duals of subhypergroups and quotients of commutative hypergroups.
Dunkl translation and uncentered maximal operator on the real line.
Dunkl-Gabor transform and time-frequency concentration
The aim of this paper is to prove two new uncertainty principles for the Dunkl-Gabor transform. The first of these results is a new version of Heisenberg’s uncertainty inequality which states that the Dunkl-Gabor transform of a nonzero function with respect to a nonzero radial window function cannot be time and frequency concentrated around zero. The second result is an analogue of Benedicks’ uncertainty principle which states that the Dunkl-Gabor transform of a nonzero function with respect to...
Dynamical properties of distal function spaces and fixed point theorems.
Dynamical properties of the automorphism groups of the random poset and random distributive lattice
A method is developed for proving non-amenability of certain automorphism groups of countable structures and is used to show that the automorphism groups of the random poset and random distributive lattice are not amenable. The universal minimal flow of the automorphism group of the random distributive lattice is computed as a canonical space of linear orderings but it is also shown that the class of finite distributive lattices does not admit hereditary order expansions with the Amalgamation Property....