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## Boundary Value Problems with Local Generalized Nevanlinna Functions in the Boundary Condition

 Source file is available as : Postscript Document

Author(s) : Jussi Behrndt , Peter Jonas

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 01-2004

MSC 2000

47B50 Operators on spaces with an indefinite metric
34B07 Linear boundary value problems with nonlinear dependence on the spectral parameter
46C20 Spaces with indefinite inner product
47A06 Linear relations
47B40 Spectral operators, decomposable operators, well-bounded operators, etc.

Abstract :
For a class of $\lambda$-dependent boundary value problems where a local variant of generalized Nevanlinna functions appears in the boundary condition linearizations are constructed and their local spectral properties are investigated.

Keywords : boundary value problems, symmetric and selfadjoint operators and relations in Krein spaces, generalized Nevanlinna functions, boundary value spaces, Weyl functions

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