Algebras of rapid decay functions on groups and cocycles of polynomial growth
โ Scribed by G. A. Noskov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1992
- Tongue
- English
- Weight
- 492 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0037-4466
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We introduce a LittlewoodโPaley decomposition related to any subโLaplacian on a Lie group __G__ of polynomial volume growth; this allows us to prove a LittlewoodโPaley theorem in this general setting and to provide a dyadic characterization of Besov spaces __B__ ^__s,q__^ ~__p__~ (__G_
For a closed subgroup H of a locally compact group G consider the property that the continuous positive definite functions on G which are identically one on H separate points in G"H from points in H. We prove a structure theorem for almost connected groups having this separation property for every c