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

^*Corresponding author for this work

Institute of Applied Mathematics (5040)

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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.

Original language	English
Title of host publication	Analysis as a Tool in Mathematical Physics
Pages	162-182
Number of pages	21
DOIs	https://doi.org/10.1007/978-3-030-31531-3_12
Publication status	Published - 1 Jan 2020

Publication series

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

ASJC Scopus subject areas

Analysis

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

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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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Scattering matrices and Weyl functions of quasi boundary triples

Abstract

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