Alexander V. Sobolev

most citedQuasi-classical asymptotics for functions of Wiener-Hopf operators: smooth vs non-smooth symbols

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.SP2016

Formulas of Szegő type for the periodic Schrödinger operator

Bernhard Pfirsch, Alexander V. Sobolev

We prove asymptotic formulas of Szegő type for the periodic Schrödinger operator $H = - \frac{d ^{2}}{d x ^{2}} + V$ in dimension one. Admitting fairly general functions $h$ with $h (0) = 0$ , we…

math.SP2016★ 1 cited

Quasi-classical asymptotics for functions of Wiener-Hopf operators: smooth vs non-smooth symbols

Alexander V. Sobolev

We consider functions of Wiener--Hopf type operators on the Hilbert space $L^{2} (R^{d})$ . It has been known for a long time that the quasi-classical asymptotics for traces of r…

math.SP2010

On the near periodicity of eigenvalues of Toeplitz matrices

Michael Levitin, Alexander V. Sobolev, Daphne Sobolev

Let $A$ be an infinite Toeplitz matrix with a real symbol $f$ defined on $[- π, π]$ . It is well known that the sequence of spectra of finite truncations $A_{N}$ of $A$ converges to th…