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
Decomposition Theorems for α -- Symmetric Positive Definite Functions
✍ Scribed by Tilmann Gneiting
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 198 KB
- Volume
- 208
- Category
- Article
- ISSN
- 0025-584X
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