Scattering matrices and Weyl functions of quasi boundary triples

Jussi Behrndt; Hagen Neidhardt

doi:10.1007/978-3-030-31531-3_12

Scattering matrices and Weyl functions of quasi boundary triples

Jussi Behrndt^*, Hagen Neidhardt

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Angewandte Mathematik (5040)

Publikation: Beitrag in Buch/Bericht/Konferenzband › Beitrag in Buch/Bericht › Begutachtung

Abstract

In this note a representation formula for the scattering matrix of a pair of self-adjoint extensions of a non-densely defined symmetric operator with infinite deficiency indices is proved with the help of quasi boundary triples and their Weyl functions. This result is a generalization of a classical formula by V.A. Adamyan and B.S. Pavlov.

Originalsprache	englisch
Titel	Analysis as a Tool in Mathematical Physics
Seiten	162-182
Seitenumfang	21
DOIs	https://doi.org/10.1007/978-3-030-31531-3_12
Publikationsstatus	Veröffentlicht - 1 Jan. 2020

Publikationsreihe

Name	Operator Theory: Advances and Applications
Band	276
ISSN (Print)	0255-0156
ISSN (elektronisch)	2296-4878

ASJC Scopus subject areas

Analyse

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10.1007/978-3-030-31531-3_12

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http://www.scopus.com/inward/record.url?scp=85081396118&partnerID=8YFLogxK

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AU - Neidhardt, Hagen

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AB - In this note a representation formula for the scattering matrix of a pair of self-adjoint extensions of a non-densely defined symmetric operator with infinite deficiency indices is proved with the help of quasi boundary triples and their Weyl functions. This result is a generalization of a classical formula by V.A. Adamyan and B.S. Pavlov.

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M3 - Chapter

T3 - Operator Theory: Advances and Applications

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BT - Analysis as a Tool in Mathematical Physics

ER -

Scattering matrices and Weyl functions of quasi boundary triples

Abstract

Publikationsreihe

ASJC Scopus subject areas

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