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[Pdf] A Strong Stieltjes Moment Problem

Di: Amelia

Abstract The Stieltjes problem of moments seeks for a nondecreasing positive distribution function μ (λ) on the semi-axis [0, + ∞) so that its moments match a given infinite

In this paper we study the strong matrix Stieltjes moment problem. We obtain necessary and sufficient conditions for its solvability. An analytic description of all solutions of the moment

SOLUTION: State and prove riemann stieltjes integral integration by ...

The strong Stieltjes moment problem (and strong Hamburger moment problem) can be formulated in the same way as the classical problems, except that here we have a double sequence fln g1 Abstract. This paper is concerned with indetenninate classical Stieltjes moment problems (CSMPs) and indetenninate strong Stieltjes moment problems (SSMPs). We are particularly

Thesymmetric strong moment problem

The strong Stieltjes moment problem (and strong Hamburger moment problem) can be formulated in the same way as the classical problems, except that here we have a Moreover, these holomorphic functions are shown to be represented by Stieltjes integral transforms whose of the moment The strong distributions ^°\t) and ^'“‚ (O solve the strong Stieltjes moment problem. In the strong or two-point Stieltjes moment problem, one has to find a positive measure on for which infinitely many moments are prescribed at the origin and at infinity. Here we consider a

In mathematics, the Stieltjes moment problem, named after Thomas Joannes Stieltjes, seeks necessary and sufficient conditions for a sequence (m0, m1, m2, ) to be of the form m n = ∫ 0 Perron-Caratheodory continued fractions (PC-fractions) have recently been investigated in connection with the trigonometric moment problem and Szego polynomials (orthogonal on the We discuss a moment problem of Stieltjes type that is related to the theory of orthogonal rational functions. We obtain results which lead to a suffic

  • Indeterminate Stieltjes moment problems revisited
  • LENS-SHAPED REGIONS FOR STRONG STIELTJES MOMENT PROBLEMS
  • Continued Fractions for the Symmetric Strong Stieltjes Moment Problem

Logic and Analysis Seminar March 11, 2015 The problem of moments, as its generalizations, is an important mathematical problem which has attracted much attention for more than a century. It In the strong or two-point Stieltjes moment problem, one has to find a positive measure on [0, ∞) for which infinitely many moments are prescribed at the origin and at infinity. The strong Hamburger moment problem is solved using spectral theory of (unbounded) self-adjoint linear operators in Hilbert space. By means of orthogo

Abstract. This paper is concerned with indetenninate classical Stieltjes moment problems (CSMPs) and indetenninate strong Stieltjes moment problems (SSMPs). We are particularly If the classical moment problem (10) is indeterminate and has another symmetric distribution necessary and sufficient conditions for function α2 ,then the strong Stieltjes moment problem (11) is also indeterminate. Abstract. This paper is concerned with indetenninate classical Stieltjes moment problems (CSMPs) and indetenninate strong Stieltjes moment problems (SSMPs). We are particularly

Abstract The Stieltjes problem of moments seeks for a nondecreasing positive distribution function ( ) on the semi-axis [0; +1) so that its moments match a given in nite sequence of positive real

Abstract In the strong or two-point Stieltjes moment problem, one has to find a positive measure on [0;¥) for which infinitely many moments are prescribed at the origin and at infinity. Here we

Determinacy of a rational moment problem

  • Realization from both the Markov parameters and the moments
  • Thesymmetric strong moment problem
  • [PDF] A rational Stieltjes moment problem
  • Katholieke Universiteit Leuven
  • Para-orthogonal Laurent polynomials and the strong Stieltjes moment problem

It will be demonstrated that continued fractions constructed from series with these moments as coefficients have corresponding symmetry properties. In particular we consider implications for Sci-Hub | A strong Stieltjes moment problem. Transactions of the American Mathematical Society, 261 (2), 503–503 | 10.1090/S0002-9947-1980-0580900-4 hubto open science ↓ save This paper is concerned with indeterminate classical Stieltjes moment problems (CSMPs) and indeterminate strong Stieltjes moment problems (SSMPs). We are particularly interested in

Abstract. This paper is concerned with indetenninate classical Stieltjes moment problems (CSMPs) and indetenninate strong Stieltjes moment problems (SSMPs). We are particularly Extremal solutions of the strong Stieltjes moment problem Journal of Computational and Applied Computational and Applied Mathematics 1995 Mathematics, 1995 Convergence Properties Related to p-Point Padé Approximants of Stieltjes N) complex matrices (moments), N ∈ N. This problem is said to be a strong matrix Stieltjes moment problem. The problem is said to be determinate if it has a unique solution and

The strong Hamburger moment problem is solved using spectral theory of (unbounded) self-adjoint linear operators in Hilbert space. By means of orthogo

A strong Stieltjes moment problem W. B. Jones, W. J. Thron, H. Waadeland Mathematics 1980

In the strong or two-point Stieltjes moment problem, one has to nd a positive measure on [0;1) for which innitely many moments are prescribed at the origin and at innity.

Observations on Indeterminate Stieltjes Moment Problems

A solution of the strong Stieltjes mom problem nt forthe sequence {c,: n = 0, =[=1, +2. } isa finite positive measure # on[0, o~) such that cn= fyt“ d#(t) forall n,while a solution of the strong The strong Hamburger moment problem (SHMP) is the following: Let {cn: n = 0, ±1, ±2,} be a given double sequence of real numbers. Find a real-valued, bounded,

3 The Stieltjes case From now on we assume that s = (sn) in addition to the previous assumptions is a Stieltjes moment sequence, so there exists at least one measure μ ∈ V supported by the

In the strong or two-point Stieltjes moment problem, one has to nd a positive measure on [0;1) for which innitely many moments are prescribed at the origin and at innity. Here we consider a In this paper we study the strong matrix Stieltjes moment problem. We obtain necessary and sufficient conditions for its solvability. An analytic description of all solutions of the moment