Central Fourier Analysis for Lorentz Spaces on Compact Lie Groups.
Central sidonicity for compact Lie groups
It is known that the dual of a compact, connected, non-abelian group may contain no infinite central Sidon sets, but always does contain infinite central -Sidon sets for We prove, by an essentially constructive method, that the latter assertion is also true for every infinite subset of the dual. In addition, we investigate the relationship between weighted central Sidonicity for a compact Lie group and Sidonicity for its torus.
Character sums in complex half-planes
Let be a finite subset of an abelian group and let be a closed half-plane of the complex plane, containing zero. We show that (unless possesses a special, explicitly indicated structure) there exists a non-trivial Fourier coefficient of the indicator function of which belongs to . In other words, there exists a non-trivial character such that .
Characterizations of amenable representations of compact groups
Let G be a locally compact group and let π be a unitary representation. We study amenability and H-amenability of π in terms of the weak closure of (π ⊗ π)(G) and factorization properties of associated coefficient subspaces (or subalgebras) in B(G). By applying these results, we obtain some new characterizations of amenable groups.
Chu-Dualität und zwei Klassen maximal fastperiodischer Gruppen.
Closed subgroups of nuclear spaces are weakly closed
Connectivity and Supernormality Results for Hypergroups.
Continuity of Operators Commuting with Translations for Compact Groups.
Convolution Semigroups and Resolvent Families of Measures on Hypergroups.
Correction to the paper "The structure space of the trigonometric polynomials on a comapct group".
Countable products of LCA groups: their closed subgroups, quotients and duality properties