B. Mityagin

activity

20052009

most citedSpectral gaps of Schrödinger operators with periodic singular potentials

15 citations · 19 across the 7 of their papers we have counts for

collaborators

Showing 2008Show all

3 papers · 1 filter

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-ph2008

An anisotropic integral operator in high temperature superconductivity

Boris Mityagin

A simplified model in superconductivity theory studied by P. Krotkov and A. Chubukov \cite{KC1,KC2} led to an integral operator $K$ -- see (1), (2). They guessed that the equation…

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…