TY  - JOUR
ID  - Palafox2025
LB  - Palafox2025
AU  - Palafox, Sergio
AU  - Silva, Luis O.
TI  - Spectral analysis of infinite Marchenko-Slavin matrices
ST  - Spectral analysis of infinite Marchenko-Slavin matrices
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2025
VL  - 45
IS  - 2
SP  - 227
EP  - 249
DO  - https://doi.org/10.7494/OpMath.2025.45.2.227
UR  - https://doi.org/10.7494/OpMath.2025.45.2.227
AB  - This work tackles the problem of spectral characterization of a class of infinite matrices arising from the modeling of small oscillations in a system of interacting particles. The class of matrices under discussion corresponds to the infinite Marchenko-Slavin class. The spectral functions of these matrices are completely characterized, and an algorithm is provided for the reconstruction of the matrix from its spectral function. The techniques used in this work are based on recent results for the spectral characterization of infinite band symmetric matrices with so-called degenerations.
KW  - inverse spectral problem
KW  - band symmetric matrices
KW  - spectral measure
SN  - 1232-9274
ER  -