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Analytic functions associated with strong Hamburger moment problems

Part of: Nontrigonometric harmonic analysis Entire and meromorphic functions, and related topics Miscellaneous topics of analysis in the complex domain Integral transforms, operational calculus

Published online by Cambridge University Press:  02 February 2009

Olav Njåstad
Olav Njåstad
Affiliation:
Department of Mathematical Sciences, Norwegian University of Science and Technology, 7491 Trondheim, Norway (olav.njastad@math.ntnu.no)
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Abstract

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We complete the investigation of growth properties of analytic functions connected with the Nevanlinna parametrization of the solutions of an indeterminate strong Hamburger moment problem.

Keywords

strong moment problemNevanlinna parametrizationNevanlinna matrix

MSC classification

Secondary: 30D15: Special classes of entire functions and growth estimates 30E05: Moment problems, interpolation problems 42C05: Orthogonal functions and polynomials, general theory 44A60: Moment problems
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 52 , Issue 1 , February 2009 , pp. 181 - 187
Copyright
Copyright © Edinburgh Mathematical Society 2009