𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The classical moment problem: Hilbertian proofs

✍ Scribed by H.J Landau

Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
960 KB
Volume
38
Category
Article
ISSN
0022-1236

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Multipeakons and the Classical Moment Pr
Multipeakons and the Classical Moment Problem
✍ Richard Beals; David H. Sattinger; Jacek Szmigielski πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 218 KB

Classical results of Stieltjes are used to obtain explicit formulas for the peakon antipeakon solutions of the Camassa Holm equation. The closed form solution is expressed in terms of the orthogonal polynomials of the related classical moment problem. It is shown that collisions occur only in peakon

On Krein's Theorem for Indeterminacy of
On Krein's Theorem for Indeterminacy of the Classical Moment Problem
✍ Henrik L. Pedersen πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 211 KB

Krein's sufficient condition for indeterminacy states that a positive measure on the real line, having moments of all orders, is indeterminate provided it has density with respect to Lebesgue measure and that this density has a finite logarithmic integral. We generalize this result and we also give

On the complex moment problem
On the complex moment problem
✍ Yurij M. Berezansky; Mykola E. Dudkin πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 202 KB

## Abstract The article is devoted to the solution of the infinite‐dimensional variant of the complex moment problem, and to the uniqueness of the solution. The main approach is illustrated for the best explanation on the one‐dimensional case. (Β© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)