On the order of indeterminate moment problems
โ Scribed by Berg, Christian; Szwarc, Ryszard
- Book ID
- 121310243
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 373 KB
- Volume
- 250
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We show that there exist indeterminate Stieltjes moment problems with prescribed common logarithmic order and type.
We consider some indeterminate moment problems which all have a discrete solution concentrated on geometric progressions of the form cq k, k E 7/ or ยฑ cq k, k E ~-. It turns out to be possible that such a moment problem has infinitely many solutions concentrated on the geometric progression.
Sufficient conditions for a distribution to be moment-indeterminate are investigated. By applying the fundamental results of Hardy theory, we give an alternative proof of Akhiezer's (1965) result concerning the moment-indeterminacy for distributions supported on the whole real line. Secondly, we giv