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A trace formula for the Dirac operator

2004/06/07 by D. R. Yafaev, Yafaev, D. R.
Computer Science · Mathematics · Physics and Astronomy · #47A40 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.SP #msc:47A40

paper · pdf · doi:10.48550/arxiv.math/0406112

10 pages

arxiv created 2004/06/07 · openalex publication_date 2004/06/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Our goal is to extend the theory of the spectral shift function to the case where only the difference of some powers of the resolvents of self-adjoint operators belongs to the trace class. As an example, we consider a couple of Dirac operators.

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