P. Djakov

activity

20052014

most citedBohr property of bases in the space of entire functions and its generalizations

23 citations · 61 across the 21 of their papers we have counts for

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Showing 2005Show all

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math-ph2005

Asymptotics of instability zones of the Hill operator with a two term potential

Plamen Djakov, Boris Mityagin

Let $γ_{n}$ denote the length of the $n$ -th zone of instability of the Hill operator $L y = - y^{''} - [4 t α cos 2 x + 2 α^{2} cos 4 x] y,$ where $α \neq = 0,$ and either both $α,…

math-ph2005

Trace formula and spectral Riemann surfaces for a class of tri-diagonal matrices

Plamen Djakov, Boris Mityagin

For tri-diagonal matrices arising in the simplified Jaynes--Cummings model, we give an asymptotics of the eigenvalues, prove a trace formula and show that the Spectral Riemann Surf…