Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Kupin, S."'
Extending the results of Borichev--Golinskii--Kupin [2009], we obtain refined Blaschke-type necessary conditions on the zero distribution of analytic functions on the unit disk and on the complex plane with a cut along the positive semi-axis satisfyi
Externí odkaz:
http://arxiv.org/abs/1603.04104
Autor:
Golinskii, L., Kupin, S.
Let $ H_0=-\dd+V_0 $ be a multidimensional Schr\"odinger ope\-rator with a real-valued potential and infinite band spectrum, and $H=H_0+V$ be its non-selfadjoint perturbation defined with the help of Kato approach. We prove Lieb--Thirring type inequa
Externí odkaz:
http://arxiv.org/abs/1510.03639
Autor:
Golinskii, L., Kupin, S.
We study a complex perturbation of a self-adjoint infinite band Schrodinger operator (defined in the form sense), and obtain the Lieb--Thirring type inequalities for the rate of convergence of the discrete spectrum of the perturbed operator to the jo
Externí odkaz:
http://arxiv.org/abs/1502.06022
Autor:
Denisov, S., Kupin, S.
For the polynomials orthogonal on the unit circle with respect to the measure from the Szego class we prove that the polynomial entropy integrals can grow. The estimate obtained is sharp.
Externí odkaz:
http://arxiv.org/abs/1112.5478
Autor:
Golinskii, L., Kupin, S.
This is a sequel of a recent article by Borichev-Golinskii-Kupin, where the authors obtain Blaschke-type conditions for special classes of analytic functions in the unit disk which satisfy certain growth hypotheses. These results were applied to get
Externí odkaz:
http://arxiv.org/abs/1106.0864
Autor:
Denisov, S., Kupin, S.
Using certain Ito's equation, we introduce the probability on the space of paths and show its relevance to the scattering properties of multidimensional Schrodinger operator. To relate the geometry of the support of potential to the spectral type we
Externí odkaz:
http://arxiv.org/abs/1012.3785
We use nowdays classical theory of generalized moment problems by Krein-Nudelman [1977] to define a special class of stochastic Gaussian processes. The class contains, of course, stationary Gaussian processes. We obtain a spectral representation for
Externí odkaz:
http://arxiv.org/abs/1007.1363
Classical Schur analysis is intimately connected to the theory of orthogonal polynomials on the circle [Simon, 2005]. We investigate here the connection between multipoint Schur analysis and orthogonal rational functions. Specifically, we study the c
Externí odkaz:
http://arxiv.org/abs/0812.2050
Autor:
Kupin, S.
We give sufficient conditions for the presence of the absolutely continuous spectrum of a Schr\"odinger operator on a regular rooted tree without loops (also called regular Bethe lattice or Cayley tree).
Comment: 10 pages, 1 figure; a preliminar
Comment: 10 pages, 1 figure; a preliminar
Externí odkaz:
http://arxiv.org/abs/0802.1080
We obtain a Blaschke-type necessary conditions on zeros of analytic functions on the unit disk with different types of exponential growth at the boundary. These conditions are used to prove Lieb-Thirring-type inequalities for the eigenvalues of compl
Externí odkaz:
http://arxiv.org/abs/0712.0407