The classical moment problem as a self-adjoint finite difference operator
B Simon - Advances in Mathematics, 1998 - Elsevier
This is a comprehensive exposition of the classical moment problem using methods from the
theory of finite difference operators. Among the advantages of this approach is that the …
theory of finite difference operators. Among the advantages of this approach is that the …
Schrödinger operators with dynamically defined potentials
D Damanik - Ergodic Theory and Dynamical Systems, 2017 - cambridge.org
In this survey we discuss spectral and quantum dynamical properties of discrete one-
dimensional Schrödinger operators whose potentials are obtained by real-valued sampling …
dimensional Schrödinger operators whose potentials are obtained by real-valued sampling …
[PDF][PDF] Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrodinger operators
arxiv:math-ph/9907023v1 28 Jul 1999 Page 1 arxiv:math-ph/9907023v1 28 Jul 1999
EIGENFUNCTIONS, TRANSFER MATRICES, AND ABSOLUTELY CONTINUOUS SPECTRUM …
EIGENFUNCTIONS, TRANSFER MATRICES, AND ABSOLUTELY CONTINUOUS SPECTRUM …
Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators
Using control of the growth of the transfer matrices, wediscuss the spectral analysis of
continuum and discrete half-line Schrödinger operators with slowly decaying potentials …
continuum and discrete half-line Schrödinger operators with slowly decaying potentials …
[BOOK][B] One-Dimensional Ergodic Schrödinger Operators: I. General Theory
The theory of one-dimensional ergodic operators involves a beautiful synthesis of ideas from
dynamical systems, topology, and analysis. Additionally, this setting includes many models …
dynamical systems, topology, and analysis. Additionally, this setting includes many models …
The Christoffel-Darboux kernel
B Simon - Perspectives in PDE, Harmonic Analysis and …, 2008 - books.google.com
The Christoffel-Darboux kernel Page 314 http://dx. doi. org/10.1090/pspum/079/2500498
Proceedings of Symposia in Pure Mathematics Proceedings of Symposia in Pure …
Proceedings of Symposia in Pure Mathematics Proceedings of Symposia in Pure …
Spectral theory of Sturm-Liouville operators on infinite intervals: a review of recent developments
Y Last - Sturm-Liouville Theory: Past and Present, 2005 - Springer
This review discusses some of the central developments in the spectral theory of Sturm-
Liouville operators on infinite intervals over the last thirty years or so. We discuss some of …
Liouville operators on infinite intervals over the last thirty years or so. We discuss some of …
Exact local distribution of the absolutely continuous spectral measure
X Li, J You, Q Zhou - arxiv preprint arxiv:2407.09278, 2024 - arxiv.org
It is well-established that the spectral measure for one-frequency Schr\" odinger operators
with Diophantine frequencies exhibits optimal $1/2$-H\" older continuity within the …
with Diophantine frequencies exhibits optimal $1/2$-H\" older continuity within the …
The absolutely continuous spectrum of the almost Mathieu operator
A Avila - arxiv preprint arxiv:0810.2965, 2008 - arxiv.org
arxiv:0810.2965v1 [math.DS] 16 Oct 2008 Page 1 arxiv:0810.2965v1 [math.DS] 16 Oct 2008
THE ABSOLUTELY CONTINUOUS SPECTRUM OF THE ALMOST MATHIEU OPERATOR …
THE ABSOLUTELY CONTINUOUS SPECTRUM OF THE ALMOST MATHIEU OPERATOR …
Uniform spectral properties of one-dimensional quasicrystals, III. α-continuity
We study the spectral properties of one-dimensional whole-line Schrödinger operators,
especially those with Sturmian potentials. Building upon the Jitomirskaya–Last extension of …
especially those with Sturmian potentials. Building upon the Jitomirskaya–Last extension of …