17 citations · 19 across the 7 of their papers we have counts for
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math-ph2005★ 1 cited
On the preservation of absolutely continuous spectrum for Schrodinger operators
Sergey A. Denisov
We present general principles for the preservation of a.c. spectrum under weak perturbations. The Schrodinger operators on the strip and on the Caley tree (Bethe lattice) are consi…
math-ph2003
On the absolutely continuous spectrum of Dirac operator
S. A. Denisov
We prove that the massless Dirac operator in with long-range potential has an a.c. spectrum which fills the whole real line. The Dirac operators with matrix-valued p…
math-ph2000
On the application of one M.G.Krein's result to the spectral analysis of Sturm-Liouville operators
S. A. Denisov
Discovered by M.G.Krein analogy between polinomials orthogonal on the unit circle and generalized eigenfunctions of certain differential systems is used to obtain some new results…