Abstract
Uniqueness of series in the Haar system summable by Toeplitz methods with positive matrices is investigated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature cited
F. G. Arutyunyan, “Recovery of the coefficients of Haar and Walsh series converging to Denjoy integrable functions,” Izv. Akad. Nauk SSSR, Ser. Matem.,30, 325–344 (1966).
V. A. Skvortsov, “A generalization of the Perron integral,” Vestnik Mosk. Un-ta Ser.1, No. 4, 48–51 (1969).
V. A. Skvortsov, “The calculation of coefficients of everywhere-convergent Haar series,” Matem. Sb.,75, No. 3, 349–360 (1968).
V. A. Skvortsov, “The uniqueness of Haar series whose partial sums contain a convergent subsequence,” Matem. Zametki,4, No. 6, 707–714 (1968).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 9, No. 4, pp. 449–458, April, 1971.
Rights and permissions
About this article
Cite this article
Skvortsov, V.A. Theorems concerning the uniqueness of Haar series for summation methods. Mathematical Notes of the Academy of Sciences of the USSR 9, 258–262 (1971). https://doi.org/10.1007/BF01387777
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01387777