scholarly journals Jacobi matrices on trees generated by Angelesco systems: asymptotics of coefficients and essential spectrum

2021 ◽  
Author(s):  
Alexander I. Aptekarev ◽  
Sergey A. Denisov ◽  
Maxim L. Yattselev
Keyword(s):  
Essential Spectrum ◽  
Jacobi Matrices

scholarly journals Unbounded Jacobi Matrices with a Few Gaps in the Essential Spectrum: Constructive Examples

2011 ◽  
Vol 69 (2) ◽  
pp. 151-170 ◽  
Author(s):  
Anne Boutet de Monvel ◽  
Jan Janas ◽  
Serguei Naboko
Keyword(s):  
Essential Spectrum ◽  
Jacobi Matrices

Inverse problems for finite Jacobi matrices and Krein–Stieltjes strings

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Alexander Mikhaylov ◽  
Victor Mikhaylov
Keyword(s):  
Dynamical System ◽  
Inverse Problems ◽  
Jacobi Matrix ◽  
Jacobi Matrices ◽  
Unknown Parameters ◽  
Stieltjes String ◽  
Propagation Of Waves ◽  
Dynamic Inverse

Abstract We consider dynamic inverse problems for a dynamical system associated with a finite Jacobi matrix and for a system describing propagation of waves in a finite Krein–Stieltjes string. We offer three methods of recovering unknown parameters: entries of a Jacobi matrix in the first problem and point masses and distances between them in the second, from dynamic Dirichlet-to-Neumann operators. We also answer a question on a characterization of dynamic inverse data for these two problems.

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