Inverse problems for Jacobi operators III: Mass-spring perturbations of semi-infinite systems

Rafael del Río, Mikhail Kudryavtsev, Luis O. Silva

Type: Article

Publication Date: 2012-01-01

Citations: 11

DOI: https://doi.org/10.3934/ipi.2012.6.599

Abstract

Consider an infinite linear mass-spring system and a modification of itobtained by changing the first mass and spring of the system. We give resultson the interplay of the spectra of such systems and on thereconstruction of the system from its spectrum and the one of themodified system. Furthermore, we provide necessary and sufficientconditions for two sequences to be the spectra of the mass-springsystem and the perturbed one.

Locations

Inverse Problems and Imaging - View
arXiv (Cornell University) - View - PDF

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+ PDF Chat	m-Functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices	1997	Fritz Gesztesy Barry Simon
+	The numerically stable reconstruction of a Jacobi matrix from spectral data	1978	Carl de Boor Gene H. Golub
+	An inverse problem	1980	R. P. Tarasov N. Yu. Bakaev
+	The Classical Moment Problem as a Self-Adjoint Finite Difference Operator	1998	Barry Simon
+	Inverse theorems for Jacobi matrices	1974	Lorraine Fu Harry Hochstadt
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