Asolute convergence of Fourier series with respect to complete orthonormal systems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 27 (1972) no. 2, pp. 55-81
Voir la notice de l'article provenant de la source Math-Net.Ru
This article gives a survey of results on absolute convergence of Fourier series with respect to the trigonometric system, the Haar system and arbitrary complete orthonormal systems. It clarifies which of the propositions on absolute convergence of trigonometric Fourier series and Fourier–Haar series remain valid for arbitrary complete orthonormal systems
@article{RM_1972_27_2_a1,
author = {S. V. Bochkarev},
title = {Asolute convergence of {Fourier} series with respect to complete orthonormal systems},
journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
pages = {55--81},
publisher = {mathdoc},
volume = {27},
number = {2},
year = {1972},
language = {en},
url = {http://geodesic.mathdoc.fr/item/RM_1972_27_2_a1/}
}
TY - JOUR AU - S. V. Bochkarev TI - Asolute convergence of Fourier series with respect to complete orthonormal systems JO - Trudy Matematicheskogo Instituta imeni V.A. Steklova PY - 1972 SP - 55 EP - 81 VL - 27 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/RM_1972_27_2_a1/ LA - en ID - RM_1972_27_2_a1 ER -
S. V. Bochkarev. Asolute convergence of Fourier series with respect to complete orthonormal systems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 27 (1972) no. 2, pp. 55-81. http://geodesic.mathdoc.fr/item/RM_1972_27_2_a1/