Indefinite sequences with a finite order singularity in the complex moment problem
type: Item
instance of: scholarly article
title: Indefinite sequences with a finite order singularity in the complex moment problem
zbMATH Open document ID: 0790.44003
DOI: 10.1007/BF01444742
published in: Mathematische Annalen
publication date: 1993-03-03T00:00:00Z
full work available at URL: https://eudml.org/doc/164983
review text: The author shows that indefinite sequences (complex-valued and indexed with two \(d\)-dimensional vectors of natural numbers) that have a singularity of a restricted order are related to the classical moment problem as well as the Levy-Khinchin formula for negative definite sequences. Moreover, an integral representation for these sequences is established, and for exponentially bounded sequences a characterization by finitely many positive definiteness conditions is proved. For a special case, new Levy-Khinchin type integral representations are obtained.
reviewed by: M.Gelbrich
Mathematics Subject Classification ID: 44A60
zbMATH DE Number: 126353
zbMATH Keywords: complex sequences
zbMATH Keywords: indefinite sequences
zbMATH Keywords: moment problem
zbMATH Keywords: Levy-Khinchin formula
zbMATH Keywords: negative definite sequence
zbMATH Keywords: integral representation
zbMATH Keywords: exponentially bounded sequences
author: El-Hassan Youssfi
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 126353