𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the complex moment problem

✍ Scribed by Yurij M. Berezansky; Mykola E. Dudkin

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
202 KB
Volume
280
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

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. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 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

Solutions of the Strong Hamburger Moment
Solutions of the Strong Hamburger Moment Problem
✍ Olav Njåstad 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 219 KB

The strong Hamburger moment problem for a bi-infinite sequence c : n s 0, " n 4 Ž . 1, " 2, . . . can be described as follows: 1 Find conditions for the existence of a Ž . Ž . ϱ n Ž . Ž . positive measure on yϱ, ϱ such that c s H t d t for all n. 2 When n yϱ Ž . there is a solution, find conditions