- Tytuł:
- A note on integral representation of Feller kernels
- Autorzy:
- Rębowski, R.
- Powiązania:
- https://bibliotekanauki.pl/articles/1312381.pdf
- Data publikacji:
- 1991
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
Feller kernel
integral representation - Opis:
- We consider integral representations of Feller probability kernels from a Tikhonov space X into a Hausdorff space Y by continuous functions from X into Y. From the existence of such a representation for every kernel it follows that the space X has to be 0-dimensional. Moreover, both types of representations coincide in the metrizable case when in addition X is compact and Y is complete. It is also proved that the representation of a single kernel is equivalent to the existence of some non-direct product measure on the product space $Y^ℕ$.
- Źródło:
-
Annales Polonici Mathematici; 1991-1992, 56, 1; 93-96
0066-2216 - Pojawia się w:
- Annales Polonici Mathematici
- Dostawca treści:
- Biblioteka Nauki
Artykuł