B. Mityagin

activity

20052011

most citedSpectral gaps of Schrödinger operators with periodic singular potentials

15 citations · 19 across the 9 of their papers we have counts for

collaborators

Showing 2011Show all

2 papers · 1 filter

math.SP2011

Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators

Plamen Djakov, Boris Mityagin

We study the system of root functions (SRF) of Hill operator $L y = - y^{''} + v y$ with a singular potential $v \in H_{p er}^{- 1}$ and SRF of 1D Dirac operator $ Ly = i {pm…

math.SP2011

Root System of a Perturbation of a Selfadjoint Operator with Discrete Spectrum

James Adduci, Boris Mityagin

We analyze the perturbations $T + B$ of a selfadjoint operator $T$ in a Hilbert space $H$ with discrete spectrum ${t_{k}}$ , $T ϕ_{k} = t_{k} ϕ_{k}$ , as an extension of our constructions i…