English

Limiting absorption principle and singular spectrum

Spectral Theory 2021-11-22 v1

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.

Keywords

Cite

@article{arxiv.2111.10034,
  title  = {Limiting absorption principle and singular spectrum},
  author = {Nurulla Azamov},
  journal= {arXiv preprint arXiv:2111.10034},
  year   = {2021}
}

Comments

5 pages

R2 v1 2026-06-24T07:44:25.501Z