A characterization of generalized poles of generalized Nevanlinna functions | Zendy

Luger Annemarie | Zendy

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A characterization of generalized poles of generalized Nevanlinna functions

Author(s) -

Luger Annemarie

Publication year - 2006

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200310401

Subject(s) - mathematics , operator (biology) , characterization (materials science) , generalized function , type (biology) , pure mathematics , representation (politics) , function (biology) , algebra over a field , mathematical analysis , materials science , nanotechnology , ecology , biochemistry , chemistry , repressor , evolutionary biology , biology , politics , political science , transcription factor , law , gene

Generalized poles of a generalized Nevanlinna function Q ∈ κ (ℋ) 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. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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