For any countable group, and also for any locally compact second countable, compactly generated topological group, G, we show the existence of a "universal" hypercyclic (i.e. topologically transitive) representation on a Hilbert space, in the sense that it simultaneously models every possible ergodic probability measure preserving free action of G.
For compactly generated abelian groups G we prove that every translation-invariant linear form on E′(G) is continuous iff for some n ϵ N, G contains elements a1,…, an which form a non-Liouville n-tuple on G.
Azerbaijan folk consists of Azerbaijanis, the representative part of society, as well as of nations and ethnic groups, compactly living in various areas of the country.
We consider the infinite-dimensional Lie group G which is the semidirect product of the group of compactly supported diffeomorphisms of a Riemannian manifold X and the commutative multiplicative group of functions on X.
It constructs a novel filtering index on the groups and compactly represents the index as a combination of Bloom and Counting Bloom Filters.
We show that the measure μcl is quasi-invariant with respect to the group of compactly supported diffeomorphisms of X and prove an integration-by-parts formula for μcl.
Folding of the PEGs leads to the formation of PEG coils including Gd DTPA molecules, which are compactly bound to the ether groups of the PEG chains, and the water molecules were loosely bound to the PEG chains [28].
We construct, given a Riemannian flag on a smooth manifold X and a compact semi-simple Lie group G, a unitary representation of order 1 of the G-valued gauge group, i.e., of the group of G-valued, compactly supported, smooth mappings on X.
Full answers are obtained for G the group Diffc(M) of compactly supported C∞-diffeomorphisms of a σ-compact smooth manifold M; and for test function groups C∞c(M,H) of compactly supported smooth maps with values in a finite-dimensional Lie group H.
Second group comprises Osipovka assemblages compactly located within the Low Amur river basin.
We show that the measure gcl is quasi-invariant with respect to the group Diff0(X) of compactly supported diffeomorphisms of X, and prove an integration-by-parts formula for gcl.
