33 citations · 90 across the 19 of their papers we have counts for
21 papers
Spectral theory of Jacobi operators with increasing coefficients. The critical case
D. R. Yafaev
Spectral properties of Jacobi operators are intimately related to an asymptotic behavior of the corresponding orthogonal polynomials as . We study the ca…
Semiclassical analysis in the limit circle case
D. R. Yafaev
We consider second order differential equations with real coefficients that are in the limit circle case at infinity. Using the semiclassical Ansatz, we construct solutions (the Jo…
Semiclassical asymptotic behavior of orthogonal polynomials
D. R. Yafaev
Our goal is to find asymptotic formulas for orthonormal polynomials with the recurrence coefficients slowly stabilizing as . To that end, we develop spectral…
A note on the Schrödinger operator with a long-range potential
D. R. Yafaev
Our goal is to develop spectral and scattering theories for the one-dimensional Schrödinger operator with a long-range potential , . Traditionally, this problem is s…
Analytic scattering theory for Jacobi operators and Bernstein-Szegö asymptotics of orthogonal polynomials
D. R. Yafaev
We study semi-infinite Jacobi matrices corresponding to trace class perturbations of the "free" discrete Schrödinger operator . Our goal is to construct vari…
Toeplitz versus Hankel: semibounded operators
D. R. Yafaev
Our goal is to compare various results for Toeplitz and Hankel operators. We consider semibounded operators and find necessary and sufficient conditions for their quadratic…