𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On a generalization of the classical moment problem

✍ Scribed by Konrad Schmüdgen

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
537 KB
Volume
125
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Multipeakons and the Classical Moment Pr
Multipeakons and the Classical Moment Problem
✍ Richard Beals; David H. Sattinger; Jacek Szmigielski 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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