Uniform distribution in locally compact groups
β Scribed by L. A. Rubel
- Book ID
- 112783401
- Publisher
- European Mathematical Society
- Year
- 1964
- Tongue
- English
- Weight
- 304 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0010-2571
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Helffer and Nourrigat prove in [2] the following lemma (Lemma 4.52, p. 930): In every connected nilpotent group G there exists a discrete subset M and corresponding to M a non-negative smooth function cp with compact support in G such that 1 cpW)=l for all x E G, ucM i.e., the family ((P~}~~,,, of a
We determine all locally compact abelian groups with the property that the group of all topological automorphisms acts transitively on the set of nontrivial elements. Such groups are called homogeneous. The connected ones are the additive groups of finite-dimensional vector spaces over the real numb