Functions positive-definite on R3 and the Heisenberg group
β Scribed by David R Fischer
- Book ID
- 107794870
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 452 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
It is proved that if a group of unitary operators and a local semigroup of isometries satisfy the Weyl commutation relations then they can be extended to groups of unitary operators which also satisfy the commutation relations. As an application a result about the extension of a class of locally def
Let f be a positive definite function on a locally compact abelian group G. In [3] we showed that measurability of 1 on an open neighbourhood of the zero implies measurability of f on G. As a main tool we used a result about the support of f [3, Th. I]. The aim of this note is to simplify the proof
We consider positive definite and radial functions. After giving general results concerning the smoothness of general positive definite and radial functions, we investigate the class of compactly supported, positive definite, and radial functions, where every function consists of a univariate polyno