A characterisation of the circle group.
A decomposition theorem for compact groups with an application to supercompactness
We show that every compact connected group is the limit of a continuous inverse sequence, in the category of compact groups, where each successor bonding map is either an epimorphism with finite kernel or the projection from a product by a simple compact Lie group. As an application, we present a proof of an unpublished result of Charles Mills from 1978: every compact group is supercompact.
A generalized universal complexification for compact groups.
A group automorphism is a factor of a direct product of a zero entropy automorphism and a Bernoulli automorphism
A Guichard theorems on connected monothetic groups
A new duality theory for compact groups.
A new proof of the -conjecture for locally compact abelian groups
A Remark on Discontinuous Translation Invariant Functionals on L... (G) for Certain Compact Groups G.
A short proof of ß(G.. {1}) = G for non-metrizable compact groups.
A survey on just-non- groups.
Abelian torsion groups with a pseudocompact group topology.
Algebras of spherical functions associated with covariant systems over a compact group.
Almost block independence and Bernoullicity of Zd-actions by automorphisms of compact abelian groups.
Almost Constant Sequences and Well-Distribution in Compact Groups.
Almost Constant Sequences of Transformations.
An Example of a Q-minimal Precompact Topological Group Containing a Nonminimal Closed Normal Subgroup.
An extension of deLeeuw’s theorem to the -dimensional rotation group
We study a method of approximating representations of the group by those of the group . As a consequence we establish a version of a theorem of DeLeeuw for Fourier multipliers of that applies to the “restrictions” of a function on the dual of to the dual of .
An F. and M. Riesz theorem for bounded symmetric domains
We generalize the classical F. and M. Riesz theorem to metrizable compact groups whose center contains a copy of the circle group. Important examples of such groups are the isotropy groups of the bounded symmetric domains.The proof uses a criterion for absolute continuity involving spaces with : A measure on a compact metrisable group is absolutely continuous with respect to Haar measure on if for some a certain subspace of which is related to has sufficiently many continuous linear...
Associate and pseudoassociate sets in LCA groups
Banach spaces admitting essentially infinite-dimensional representation of a compact group