On Functions Positive Definite Relative to the Orthogonal Group and the Representation of Functions as Hankel-Stieltjes Transforms
✍ Scribed by A. Edward Nussbaum
- Book ID
- 125685475
- Publisher
- American Mathematical Society
- Year
- 1973
- Tongue
- English
- Weight
- 443 KB
- Volume
- 175
- Category
- Article
- ISSN
- 0002-9947
- DOI
- 10.2307/1996086
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
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
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