4 citations · 4 across the 4 of their papers we have counts for
4 papers
Bari-Markus property for Riesz projections of Hill operators with singular potentials
Plamen Djakov, Boris Mityagin
The Hill operators with periodic potentials, considered with periodic, antiperiodic or Dirichlet boundary conditions, ha…
Deviations of Riesz projections of Hill operators with singular potentials
Plamen Djakov, Boris Mityagin
It is shown that the deviations of Riesz projections of Hill operators $L y = - y^{\prime…
Fourier method for one dimensional Schrödinger operators with singular periodic potentials
Plamen Djakov, Boris Mityagin
By using quasi--derivatives, we develop a Fourier method for studying the spectral properties of one dimensional Schrödinger operators with periodic singular potentials.
Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices
Plamen Djakov, Boris Mityagin
For tri-diagonal matrices arising in the simplified Jaynes--Cummings model, we give an asymptotics of the eigenvalues, prove a trace formula and show that the Spectral Riemann Surf…