On a Characterisation of Certain Infinitely Divisible Positive Definite Functions and Measures
β Scribed by Schmidt, K.
- Book ID
- 120097457
- Publisher
- Oxford University Press
- Year
- 1972
- Tongue
- English
- Weight
- 166 KB
- Volume
- s2-4
- Category
- Article
- ISSN
- 0024-6107
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π 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
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