Functions operating on positive definite functions
β Scribed by R. Ovsianas
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 314 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0363-1672
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let 0 be a locally compact abelian ordered group. We say that 0 has the extension property if every operator valued continuous positive definite function on an interval of 0 has a positive definite extension to the whole group and we say that 0 has the commutant lifting property if a natural extensi
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
We give a complete characterization of the strictly positive definite functions on the real line. By Bochner's theorem, this is equivalent to proving that if the separated sequence of real numbers [a n ] describes the points of discontinuity of a distribution function, there exists an almost periodi