On integral representation of the continuous O(n)-positive definite functions
✍ Scribed by M. B. Becker
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1998
- Tongue
- English
- Weight
- 703 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
Let G be a locally compact commutative group and let g and h be positive definite functions on G, which are not identically zero. We show that continuity of gh implies the existence of a character y of Gd (the discrete version of G) such that yg and y h are continuous. As corollary we get a special
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