52 citations · 187 across the 38 of their papers we have counts for
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Spatial asymptotics of Green's function and applications
Sergey A. Denisov
We study the spatial asymptotics of Green's function for the 1d Schrodinger operator with operator-valued decaying potential. The bounds on the entropy of the spectral measures are…
Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum
Alexander I. Aptekarev, Sergey A. Denisov, Maxim L. Yattselev
We continue studying the connection between Jacobi matrices defined on a tree and multiple orthogonal polynomials (MOPs) that was discovered previously by the authors. In this pape…
On the Essential Spectrum of Schrödinger Operators on Trees
Jonathan Breuer, Sergey Denisov, Latif Eliaz
It is known that the essential spectrum of a Schrödinger operator on is equal to the union of the spectra of right limits of . The natural…
Schrodinger operators and associated hyperbolic pencils
Sergey A. Denisov
For a large class of Schrodinger operators, we introduce the hyperbolic quadratic pencils by making the coupling constant dependent on the energy in the very special way. For these…
Spectral Properties of Schrödinger Operators with Decaying Potentials
Sergey A. Denisov, Alexander Kiselev
We review recent advances in the spectral theory of Schrödinger operators with decaying potentials. The area has seen spectacular progress in the past few years, stimulated by seve…