Limiting absorption principle and singular spectrum

2021/11/19 by Nurulla Azamov, Azamov, Nurulla
Mathematics · Physics and Astronomy · #47A40 #47A55 #FOS: Mathematics #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2111.10034

openalex publication_date 2021/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper I give an explicit construction of an analogue of eigenspace for points of the singular spectrum of a self-adjoint operator. This construction is based on an abstract version of homogeneous Lippmann-Schwinger equation.

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