𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Laurent–Jacobi Matrices and the Strong Hamburger Moment Problem

✍ Scribed by Erik Hendriksen; Caspar Nijhuis

Book ID
110235464
Publisher
Springer Netherlands
Year
2000
Tongue
English
Weight
107 KB
Volume
61
Category
Article
ISSN
0167-8019

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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

Para-orthogonal Laurent polynomials and
Para-orthogonal Laurent polynomials and the strong Stieltjes moment problem
✍ Catherine M. Bonan-Hamada; William B. Jones 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 113 KB

On the space, A of Laurent polynomials we consider a linear functional L which is positive deÿnite on (0; ∞) and is deÿned in terms of a given bisequence, {c k } ∞ k=-∞ . For each ! ¿ 0, we deÿne a sequence {Nn(z; !)} ∞ n=0 of rational functions in terms of two sequences of orthogonal Laurent polyno

Nevanlinna matrices for the strong Stiel
Nevanlinna matrices for the strong Stieltjes moment problem
✍ Olav Njåstad 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 391 KB

Let {c,,}~ ~ be a doubly infinite sequence of real numbers. A solution of the strong Hamburger moment problem is a positive measure tr on (-~x~, c~) such that c, = f\_~ u ~ da(u) for n = 0, ± 1, i 2 ..... A solution of the strong Stieltjes moment problem is a positive measure a on [0, c~z) such that

The strong Hamburger moment problem and
The strong Hamburger moment problem and self-adjoint operators in Hilbert space
✍ E. Hendriksen 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 435 KB

The strong Hamburger moment problem is solved using spectral theory of (unbounded) self-adjoint linear operators in Hilbert space. By means of orthogonal projections of finite dimensional range certain two-point Pad~ approximants to the moment generating function are obtained.