#### 150 Citations

Compact connected abelian groups of dimension 1

- Mathematics
- 2021

The compact connected abelian groups of dimension 1 are represented and classified in an efficient and explicit way. Main tools are Pontryagin Duality and the Resolution Theorem for compact abelian… Expand

The main decomposition of finite-dimensional protori

- Mathematics
- 2018

Abstract A protorus is a compact connected abelian group of finite dimension. We use a result on finite-rank torsion-free abelian groups and Pontryagin duality to considerably generalize a well-known… Expand

DERIVATIONS ON MATRIX ALGEBRAS WITH APPLICATIONS TO HARMONIC ANALYSIS

- Mathematics
- 2011

In this paper, the derivations between ideals of the Banach algebra $\frak {E}$$_\infty(I)$ are characterized. Necessary and sufficient conditions for weak amenability of Banach algebras $\frak… Expand

WELL-KNOWN LCA GROUPS CHARACTERIZED BY THEIR CLOSED SUBGROUPS1

- 2010

In this paper we determine (1) the class of all nondiscrete LCA groups for which every proper closed subgroup is the kernel of a continuous character of the group, (2) the class of locally compact… Expand

Asymptotically Stationary and Related Processes

- Mathematics
- 2004

We survey the known properties of asymptotically stationary processes and discuss their relationship with other processes with finite variances. The appropriate notions of asymptotic stationarity,… Expand

On dense embeddings of discrete groups into locally compact groups

- Mathematics
- 2003

We consider a class of discrete groups which have no ergodic actions by translations on continuous non-compact locally compact groups. We also study dense embeddings ofZn (n>1) into non-compact… Expand

Discrete Spectrum of Nonstationary Stochastic Processes on Groups

- Mathematics
- 1998

Vector-valued, asymptotically stationary stochastic processes on σ-compact locally compact abelian groups are studied. For such processes, we introduce a stationary spectral measure and show that it… Expand

Certain averages on the -adic numbers

- Mathematics
- 1992

For LP n L2 functions f, with p greater than one, defined on the a-adic numbers Qa, we consider averages like A"l)f(x)= -E 1 (x +n2a) and A(2)f(x)=Z fE(x+Pna), n=1 n=l where x and a are in a*. Here… Expand