University of Birmingham > Talks@bham > Analysis seminar > Boundary triples and spectral information in abstract M-functions

Boundary triples and spectral information in abstract M-functions

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The Weyl-Titchmarsh m-function is an important tool in the study of forward and inverse problems for ODEs, as it contains all the spectral information of the problem. The abstract setting of boundary triples allows the introduction of an abstract operator M-function. Our aim is to study how much spectral information is still contained in the M-function in this more general setting. Boundary triples allow for the study of PDEs, block operator matrices and many other problems in one framework. We will discuss properties of M-functions, their relation to the resolvent and the spectrum of the associated operator, and consider some examples.

This talk is part of the Analysis seminar series.

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