Almost everywhere convergence of Marcinkiewicz means of Fourier series on the group of 2-adic integers

I. Blahota, and G. Gát. "Almost everywhere convergence of Marcinkiewicz means of Fourier series on the group of 2-adic integers." Studia Mathematica 191.3 (2009): 215-222. <http://eudml.org/doc/285248>.

@article{I2009,
abstract = {We prove the almost everywhere convergence of the Marcinkiewicz means of integrable functions σₙf → f for every f ∈ L¹(I²), where I is the group of 2-adic integers.},
author = {I. Blahota, G. Gát},
journal = {Studia Mathematica},
keywords = {character system; group of 2-adic integers; Fourier series; Marcinkiewicz means; a.e. convergence},
language = {eng},
number = {3},
pages = {215-222},
title = {Almost everywhere convergence of Marcinkiewicz means of Fourier series on the group of 2-adic integers},
url = {http://eudml.org/doc/285248},
volume = {191},
year = {2009},
}

TY - JOUR
AU - I. Blahota
AU - G. Gát
TI - Almost everywhere convergence of Marcinkiewicz means of Fourier series on the group of 2-adic integers
JO - Studia Mathematica
PY - 2009
VL - 191
IS - 3
SP - 215
EP - 222
AB - We prove the almost everywhere convergence of the Marcinkiewicz means of integrable functions σₙf → f for every f ∈ L¹(I²), where I is the group of 2-adic integers.
LA - eng
KW - character system; group of 2-adic integers; Fourier series; Marcinkiewicz means; a.e. convergence
UR - http://eudml.org/doc/285248
ER -