26 citations · 80 across the 28 of their papers we have counts for
6 papers · 2 filters
Limiting absorption principle and singular spectrum
Nurulla Azamov
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…
Coupling Resonances and Spectral Properties of the Product of Resolvent and Perturbation
Nurulla Azamov, Tom Daniels
Given a self-adjoint operator and a relatively compact self-adjoint perturbation , we study in some detail the spectral properties of the product . For some…
Relative stability of singular spectrum
Nurulla Azamov
There are classical theorems of analysis which, given certain conditions on a perturbation, assert stability of the essential and absolutely continuous components of the spectrum o…
Spectral flow inside essential spectrum V: on absorbing points of coupling resonances
Nurulla Azamov
Let and be self-adjoint operators, such that admits a factorisation with bounded self-adjoint and -compact Coupling resonance functi…
Spectral flow inside essential spectrum III: coupling resonances near essential spectrum
Nurulla Azamov
Given a self-adjoint operator and a relatively -compact self-adjoint operator the functions where are eigenvalues of the compact…
Spectral flow inside essential spectrum II: resonance set and its structure
Nurulla Azamov
This paper is a continuation of the study of spectral flow inside essential spectrum initiated in \cite{AzSFIES}. Given a point outside the essential spectrum of a self-adjoint…