An integer-valued version of the Birman-Krein formula
Alexander Pushnitski
TL;DR
This paper presents an identity in abstract scattering theory that serves as an integer-valued analogue of the Birman-Krein formula, offering new insights into spectral shift functions.
Contribution
It introduces an integer-valued version of the Birman-Krein formula within the framework of abstract scattering theory, expanding theoretical understanding.
Findings
Establishes an identity in scattering theory
Provides an integer-valued analogue of the Birman-Krein formula
Enhances theoretical tools for spectral analysis
Abstract
We discuss an identity in abstract scattering theory which can be interpreted as an integer-valued version of the Birman-Krein formula.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Advanced Mathematical Modeling in Engineering · Numerical methods in inverse problems