Discrete marginal problem for complex measures
Discrete self-similar multifractals with examples from algebraic number theory
Disintegration and perfectness of measure spaces.
Disintegration theory on a constant field of non-seperable Hilbert spaces.
Diskrepanz und Distanz von Maßen bezüglich konvexer und Jordanscher Mengen.
Distance sets, ratio sets and certain transformations of sets of real numbers
Distribution of digits in integers: fractal dimensions and zeta functions
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
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.
Domination d'une mesure par une capacité
Doubling measures with different bases
Duality for Cardinal Algebras.
Duality of measure and category in infinite-dimensional separable Hilbert space .
Duality theorems for Kantorovich-Rubinstein and Wasserstein functionals [Book]
Dva vzorce pro krychlový obsah čtyrstěnu
Dyadische Entwicklungen und Hausdorffsches Mass
Dynamical boundary of a self-similar set
Given a self-similar set E generated by a finite system Ψ of contracting similitudes of a complete metric space X we analyze a separation condition for Ψ, which is obtained if, in the open set condition, the open subset of X is replaced with an open set in the topology of E as a metric subspace of X. We prove that such a condition, which we call the restricted open set condition, is equivalent to the strong open set condition. Using the dynamical properties of the forward shift, we find a canonical...
Dynamics of certain nonconformal degree-two maps of the plane.
Dynamics of finite-multivalued transformations.