Abstract
Schur's stepwise algorithm is constructed for degenerate matrix moment problems on the axis and the semiaxis, yielding the complete description of their solutions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
I. V. Kovalishina, “The analytic theory of a certain class of interpolation problems,” Izv. Akad. Nauk SSSR, Ser. Mat.,47, No. 3, 455–497 (1983).
Yu. N. Dyukarev, The matrix Stieltjes moment problem. Manuscript deposited at VINITI, No. 2628, March 22, 1981, Moscow (1981).
N. I. Akhiezer, The Classical Moment Problem and Some Related Questions in Analysis, Oliver and Boyd, Edinburgh (1965).
A. V. Efimov and V. P. Potapov, “J-expanding matrix-valued functions, and their role in the analytic theory of electrical circuits,” Usp. Mat. Nauk,28, No. 1 (169), 65–130 (1973).
M. G. Krein and A. A. Nudel'man, The Markov Moment Problem and Extremal Problems, Am. Math. Soc., Providence (1977).
Additional information
Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 50, pp. 25–31, 19888.
Rights and permissions
About this article
Cite this article
Bolotnikov, V.A. Description of the solutions of a degenerate moment problem on the axis and the semiaxis. J Math Sci 49, 1253–1258 (1990). https://doi.org/10.1007/BF02209168
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02209168