15 citations · 19 across the 7 of their papers we have counts for
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math.SP2009★ 15 cited
Spectral gaps of Schrödinger operators with periodic singular potentials
Plamen Djakov, Boris Mityagin
By using quasi--derivatives we develop a Fourier method for studying the spectral gaps of one dimensional Schrödinger operators with periodic singular potentials Our results r…
math.SP2009
Bari-Markus property for Riesz projections of 1D periodic Dirac operators
Plamen Djakov, Boris Mityagin
The Dirac operators $$ Ly = i 1 & 0 0 & -1 \frac{dy}{dx} + v(x) y, \quad y = y_1 y_2, \quad x\in[0,π],$$ with -potentials $$ v(x) = 0 & P(x) Q(x) & 0, \quad P,Q \in L^2 ([0,π]…