Disintegration theory on a constant field of non-seperable Hilbert spaces.
Disjointness of the convolutionsfor Chacon's automorphism
The purpose of this paper is to show that if σ is the maximal spectral type of Chacon’s transformation, then for any d ≠ d’ we have . First, we establish the disjointness of convolutions of the maximal spectral type for the class of dynamical systems that satisfy a certain algebraic condition. Then we show that Chacon’s automorphism belongs to this class.
Diskrepanz und Distanz von Maßen bezüglich konvexer und Jordanscher Mengen.
Distance sets, ratio sets and certain transformations of sets of real numbers
Distortion inequality for the Frobenius-Perron operator and some of its consequences in ergodic theory of Markov maps in
Asymptotic properties of the sequences (a) and (b) , where is the Frobenius-Perron operator associated with a nonsingular Markov map defined on a σ-finite measure space, are studied for g ∈ G = f ∈ L¹: f ≥ 0 and ⃦f ⃦ = 1. An operator-theoretic analogue of Rényi’s Condition is introduced. It is proved that under some additional assumptions this condition implies the L¹-convergence of the sequences (a) and (b) to a unique g₀ ∈ G. The general result is applied to some smooth Markov maps in ....
Distribution measures and Hausdorff dimensions.
Distribution of digits in integers: fractal dimensions and zeta functions
Distribution Preserving Sequences of Maps and Almost Constant Sequences on Finite Sets.
Distributional and Operational Integral Homogeneity over Local Fields.
Dividing measures and narrow operators
We use a new technique of measures on Boolean algebras to investigate narrow operators on vector lattices. First we prove that, under mild assumptions, every finite rank operator is strictly narrow (before it was known that such operators are narrow). Then we show that every order continuous operator from an atomless vector lattice to a purely atomic one is order narrow. This explains in what sense the vector lattice structure of an atomless vector lattice given by an unconditional basis is far...
Division space axiomatics
Domain of partial attraction for infinitely divisible distributions in a Hilbert space
Domains of Dirichlet forms and effective resistance estimates on p.c.f. fractals
We consider post-critically finite self-similar fractals with regular harmonic structures. We first obtain effective resistance estimates in terms of the Euclidean metric, which in particular imply the embedding theorem for the domains of the Dirichlet forms associated with the harmonic structures. We then characterize the domains of the Dirichlet forms.
Dominated and uniformly dominated families of Loeb-measures.
Domination d'une mesure par une capacité
Double recurrence and almost sure convergence.
Doubling measures with different bases
Doubly stochastic right multipliers.
Duality for Cardinal Algebras.
Duality of measure and category in infinite-dimensional separable Hilbert space .