Determination and study of positive forms on spaces of functions, I
β Scribed by Gustave Choquet
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 536 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0021-9045
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π SIMILAR VOLUMES
Two types of fundamental spaces of differential forms on infinite dimensional topological vector spaces are considered; one is a fundamental space of Hida's type and the other is one of Malliavin's. It is proven that the former space is smaller than the latter. Moreover, it is shown that, under some
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