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- Leonid Golinskii, Sergei Khrushchev
- Journal of Approximation Theory
- 2002

The convergence in L( ) of the even approximants of the Wall continued fractions is extended to CesÃ roâ€“Nevaiâ€™s class CN, which is defined as the class of probability measures Ïƒ with lim nâ†’âˆž 1 n nâˆ’1â€¦ (More)

Given a probability measure Î¼ on the unit circle we study para-orthogonal polynomials Bn(Â·, w) (with fixed w âˆˆ ) and their zeros which are known to lie on the unit circle. We are focused on theâ€¦ (More)

- Leonid Golinskii
- 2005

The relation between the Toda lattices and similar nonlinear chains and orthogonal polynomials on the real line has been elaborated immensely for the last decades. We examine another system ofâ€¦ (More)

Let 0 < 2 and let def = ei : 2 [ ; ] . We show that for generalized (nonÂ–negative) polynomials P of degree r and p > 0, we have m X j=1 jP (aj)j aj e aj e + pr + 1 2!1=2 c (pr + 1) Z P e p d ; whereâ€¦ (More)

- Leonid Golinskii, Stefano Serra Capizzano
- Journal of Approximation Theory
- 2007

X iv :m at h/ 05 12 22 2v 1 [ m at h. SP ] 1 1 D ec 2 00 5 The asymptotic properties of the spectrum of non symmetrically perturbed Jacobi matrix sequences Leonid Golinskii and Stefanoâ€¦ (More)

- Leonid Golinskii
- 2005

We study spectrum inclusion regions for complex Jacobi matrices that are compact perturbations of the discrete laplacian. The condition sufficient for the lack of discrete spectrum for such matricesâ€¦ (More)

- Leonid Golinskii, Mikhail Kudryavtsev
- Journal of Approximation Theory
- 2009

For finite dimensional CMV matrices the mixed inverse spectral problem of reconstruction the matrix by its submatrix and a part of its spectrum is considered. A general rational interpolation problemâ€¦ (More)

- YURY ARLINSKÄ¬I, Leonid Golinskii, EDUARD TSEKANOVSKÄ¬I
- 2006

The main issue we address in the present paper are the new models for completely nonunitary contractions with rank one defect operators acting on some Hilbert space of dimension N â‰¤ âˆž. These modelsâ€¦ (More)

- Leonid Golinskii, S. Kupin
- 2013

Let H0 = âˆ’âˆ† + V0 be a finite band SchrÃ¶dinger operator with a real-valued potential. We study its complex perturbation H = H0 + V defined in the form sense, and obtain a Liebâ€“Thirring typeâ€¦ (More)

Let Î¼ be a non-trivial probability measure on the unit circle âˆ‚D, w the density of its absolutely continuous part, Î±n its Verblunsky coefficients, and Î¦n its monic orthogonal polynomials. In thisâ€¦ (More)