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A characterization of generalized poles of generalized Nevanlinna functions

✍ Scribed by Annemarie Luger

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
260 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Generalized poles of a generalized Nevanlinna function Q ∈ 𝒩~ΞΊ~ (ℋ︁) are defined in terms of the operator representation of Q . In this paper those generalized poles that are not of positive type and their degrees of non‐positivity are characterized analytically by means of pole cancellation functions. (Β© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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