B. Mityagin

activity

20052008

most citedDeviations of Riesz projections of Hill operators with singular potentials

4 citations · 4 across the 5 of their papers we have counts for

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math.SP2008

Bari-Markus property for Riesz projections of Hill operators with singular potentials

Plamen Djakov, Boris Mityagin

The Hill operators $L y = - y^{''} + v (x) y, x \in [0, π],$ with $H^{- 1}$ periodic potentials, considered with periodic, antiperiodic or Dirichlet boundary conditions, ha…

math.SP2008★ 4 cited

Deviations of Riesz projections of Hill operators with singular potentials

Plamen Djakov, Boris Mityagin

It is shown that the deviations $P_{n} - P_{n}^{0}$ of Riesz projections $P_{n} = \frac{1}{2 π i} \int_{C_{n}} (z - L)^{- 1} d z, C_{n} = {∣ z - n^{2} ∣ = n},$ of Hill operators $L y = - y^{\prime…

math.SP2007

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.