Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 3, pp. 182-202
Citer cet article
M. A. Kudryavtsev. The direct and inverse problem of spectral analysis for five-diagonal simmetric matrices. I. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 3, pp. 182-202. http://geodesic.mathdoc.fr/item/JMAG_1998_5_3_a3/
@article{JMAG_1998_5_3_a3,
author = {M. A. Kudryavtsev},
title = {The direct and inverse problem of spectral analysis for five-diagonal simmetric {matrices.~I}},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {182--202},
year = {1998},
volume = {5},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1998_5_3_a3/}
}
TY - JOUR
AU - M. A. Kudryavtsev
TI - The direct and inverse problem of spectral analysis for five-diagonal simmetric matrices. I
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1998
SP - 182
EP - 202
VL - 5
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_1998_5_3_a3/
LA - ru
ID - JMAG_1998_5_3_a3
ER -
%0 Journal Article
%A M. A. Kudryavtsev
%T The direct and inverse problem of spectral analysis for five-diagonal simmetric matrices. I
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1998
%P 182-202
%V 5
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_1998_5_3_a3/
%G ru
%F JMAG_1998_5_3_a3
The five-diagonal simmetric matrices of finite order are considered. The matrix-valued spectral measure associated with the eigenvector expansion is introduced. The necessary and sufficient conditions for a matrix-valued measure to be the spectral measure of such a matrix are obtained. The method of reconstruction of the five-diagonal matrices is obtained.
