Hamburger Moment Problem: Parseval Equality andA-Singularity
نویسندگان
چکیده
منابع مشابه
Maximum Entropy in the Finite Stielties and Hamburger Moment Problem
A necessary and suucient condition for the existence of the maximum entropy (ME) function deened in an innnite or semiinnnite interval, is provided. The conclusions reached show that, except in a few particular cases, the necessary and suucient conditions for the existence of maximum entropy function are identical to the conditions for the solution of the moment problem when the rst M+1 moments...
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In the classical Stieltjes and Hamburger's moment problem the sequence of maximum entropy approx-imants, whose rst M moments are equal to given ones, is considered. It is proved that whenever an innnite moment problem is determined then maximum entropy approximants converge in entropy to the function characterized by given moments. Entropy-convergence is proved by using exclusively existence an...
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We consider a sequence of orthogonal polynomials given by the classical three term recurrence relation. We address the problem of deciding the determinacy or indeterminacy of the associated Hamburger moment problem on the basis of the behavior of the coefficients in the three term recurrence relation. Comparisons are made with other criteria in the literature. The efficacy of the criteria obtai...
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In this paper we consider two related objects: singular positive semidefinite Hankel block–matrices and associated degenerate truncated matrix Hamburger moment problems. The description of all solutions of a degenerate matrix Hamburger moment problem is given in terms of a linear fractional transformation. The case of interest is the Hamburger moment problem whose Hankel block–matrix admits a p...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1996
ISSN: 0022-1236
DOI: 10.1006/jfan.1996.0134