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Showing 2009 · math.SPShow all
3 papers · 2 filters
math.SP2009
The Birman-Schwinger principle on the essential spectrum
Alexander Pushnitski
Let and be self-adjoint operators in a Hilbert space. We consider the spectral projections of and corresponding to a semi-infinite interval of the real line. We…
math.SP2009
Spectral theory of discontinuous functions of self-adjoint operators: essential spectrum
Alexander Pushnitski
Let and be self-adjoint operators in a Hilbert space. In the scattering theory framework, we describe the essential spectrum of the difference for piecewise…
math.SP2009
Spectral theory of discontinuous functions of self-adjoint operators and scattering theory
Alexander Pushnitski, Dmitri Yafaev
In the smooth scattering theory framework, we consider a pair of self-adjoint operators , and discuss the spectral projections of these operators corresponding to the inte…