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Displaying 1 – 11 of 11

Central Fourier Analysis for Lorentz Spaces on Compact Lie Groups.

Giancarlo Travaglini, Saverio Giulini (1989)

Monatshefte für Mathematik

Central sidonicity for compact Lie groups

Kathryn E. Hare (1995)

Annales de l'institut Fourier

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 $p$ -Sidon sets for $p > 1 .$ 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

Sergei V. Konyagin, Vsevolod F. Lev (2004)

Journal de Théorie des Nombres de Bordeaux

Let $A$ be a finite subset of an abelian group $G$ and let $P$ be a closed half-plane of the complex plane, containing zero. We show that (unless $A$ possesses a special, explicitly indicated structure) there exists a non-trivial Fourier coefficient of the indicator function of $A$ which belongs to $P$ . In other words, there exists a non-trivial character $χ \in \hat{G}$ such that $\sum_{a \in A} χ (a) \in P$ .

Characterizations of amenable representations of compact groups

Michael Yin-Hei Cheng (2012)

Studia Mathematica

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.

Currently displaying 1 – 11 of 11

Page 1

Displaying 1 – 11 of 11

Central Fourier Analysis for Lorentz Spaces on Compact Lie Groups.

Central sidonicity for compact Lie groups

Character sums in complex half-planes

Characterizations of amenable representations of compact 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

Currently displaying 1 – 11 of 11