26 citations · 80 across the 28 of their papers we have counts for
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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 VI: on essentially singular points
Nurulla Azamov
Let be a self-adjoint operator on a Hilbert space endowed with a rigging which is a zero-kernel closed operator from to another Hilbert space $…
On a property of Herglotz functions
Nurulla Azamov
In this note I prove the following property of Herglotz functions, which to my knowledge is new: For a Herglotz function and a real number define a Herglot…
Limiting absorption principle for perturbed operator
Nurulla Azamov
In this note the following theorem is proved. Let and be Hilbert spaces. Let be a self-adjoint operator on $F \colon \mathcal H \to \m…