𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Extremal solutions of the strong Stieltjes moment problem

✍ Scribed by Olav Njåstad


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
533 KB
Volume
65
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Zeros of orthogonal Laurent polynomials
✍ C. Bonan-Hamada; W.B. Jones; O. Njåstad 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 241 KB

The strong Stieltjes moment problem for a bisequence {c n } ∞ n=-∞ consists of finding positive Orthogonal Laurent polynomials associated with the problem play a central role in the study of solutions. When the problem is indeterminate, the odd and even sequences of orthogonal Laurent polynomials s

Solutions of the Strong Hamburger Moment
✍ 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

The Stieltjes Moment Problem with Comple
✍ Antonio J. Duran 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 835 KB

## Abstract In this paper, we characterize the complex sequences (__z~n~__)~__n__~ which satisfy the following condition: For each complex sequence (__a~n~__)~__n__~, there exists a function __f__ such that the functions __t^z^~n~f__(__t__) are Lebesgue integrable and __a~n~__ = ∫ __t^z^~n~f__(__t_

Extremal Solutions of the Two-Dimensiona
✍ Mihai Putinar 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 817 KB

By using the theory of the principal function of a hyponormal operator with rank-one self-commutator, one classifies some extremal points of the solutions of the truncated L-problem of moments in two real variables. These extremal elements, called degenerated solutions of the L-problem, are proved t

Extremal Solutions of the Two-Dimensiona
✍ Mihai Putinar 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 403 KB

The extremal solutions of the truncated L-problem of moments in two real variables, with support included in a given compact set, are described as characteristic functions of semi-algebraic sets given by a single polynomial inequality. An exponential kernel, arising as the determinantal function of