Gaussian measures and the density theorem
Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation
Inspired by the work of Zhidkov on the KdV equation, we perform a construction of weighted Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation. The resulting measures are supported by Sobolev spaces of increasing regularity. We also prove a property on the support of these measures leading to the conjecture that they are indeed invariant by the flow of the Benjamin-Ono equation.
Gaussian measures on spaces,
Gaussian radon measures on locally convex spaces.
Generalisations of -density
Generalized Lusin sets with the Blackwell property
Generalized Radon spaces which are not Radon.
Generalized transforms and convolutions.
Generalized Volterra integral equations
Gleichmäßige Verteilung von Punkten in gewissen metrischen Räumen, speziell auf der Kugel.
Group Automorphisms With Finite Entropy.
Group ideals in a semigroup of measures.
Haar measure is not approximable by balls.
Haar measure on linear groups over local skew fields.
Haar null and non-dominating sets
We study the σ-ideal of Haar null sets on Polish groups. It is shown that on a non-locally compact Polish group with an invariant metric this σ-ideal is closely related, in a precise sense, to the σ-ideal of non-dominating subsets of . Among other consequences, this result implies that the family of closed Haar null sets on a Polish group with an invariant metric is Borel in the Effros Borel structure if, and only if, the group is locally compact. This answers a question of Kechris. We also obtain...
Harmonic analysis with respect to almost invariant measures
Hausdorff and Fourier dimension
There is no constraint on the relation between the Fourier and Hausdorff dimension of a set beyond the condition that the Fourier dimension must not exceed the Hausdorff dimension.
Hausdorff measures in Minkowskian geometry
Hausdorff-Maße von Summenmengen. I.
Hausdorff-Maße von Summenmengen. II: