B. Mityagin

activity

20052012

most citedSpectral gaps of Schrödinger operators with periodic singular potentials

15 citations · 19 across the 11 of their papers we have counts for

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math.SP2012

Divergence of spectral decompositions of Hill operators with two exponential term potentials

Plamen Djakov, Boris Mityagin

We consider the Hill operator $L y = - y^{''} + v (x) y, 0 \leq x \leq π,$ subject to periodic or antiperiodic boundary conditions ( $b c$ ) with potentials of the f…

math.SP2012

Combinatorial identities related to eigenfunction decompositions of Hill operators: Open Questions

Plamen Djakov, Boris Mityagin

We formulate several open questions related to enumerative combinatorics, which arise in the spectral analysis of Hill operators with trigonometric polynomial potentials.