A sufficient condition for vanishing of the derived projective limit functor
โ Scribed by L. Frerick; J. Wengenroth
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 429 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Concise proofs are presented for the necessity and sufficiency of f being a divergence for the variational derivatives of f to vanish identically, where f i s a function of N functions of n variables, their partial derivatives to arbitrary order, and the n variables. The approach is conventional.
The pointwise limit S of a sequence of Stieltjes transforms รฐS n ร of real Borel probability measures รฐP n ร is itself the Stieltjes transform of a Borel p.m. P if and only if iySรฐiyร-ร 1 as y-N; in which case P n converges to P in distribution. Applications are given to several problems in mathemat