Helton-Howe-Carey-Pincus Trace Formula and Krein's Theorem
Arup Chattopadhyay, Kalyan B. Sinha
TL;DR
This paper derives the Helton-Howe-Carey-Pincus trace formula from Krein's trace formula, establishing a theoretical connection between these two important results in operator theory.
Contribution
It provides a novel derivation of the Helton-Howe-Carey-Pincus trace formula using Krein's trace formula, linking two key concepts in spectral theory.
Findings
Established the derivation of the trace formula from Krein's theorem
Clarified the relationship between Helton-Howe-Carey-Pincus and Krein's trace formulas
Enhanced understanding of spectral shift functions
Abstract
In this article, we derive the Helton-Howe-Carey-Pincus trace formula as a consequence of Krein's trace formula.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Matrix Theory and Algorithms · Random Matrices and Applications