Almost everywhere convergence of Marcinkiewicz means of Fourier series on the group of 2-adic integers
I. Blahota ; G. Gát
Studia Mathematica, Tome 192 (2009), p. 215-222 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:285248
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     author = {I. Blahota and G. G\'at},
     title = {Almost everywhere convergence of Marcinkiewicz means of Fourier series on the group of 2-adic integers},
     journal = {Studia Mathematica},
     volume = {192},
     year = {2009},
     pages = {215-222},
     zbl = {1172.42009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm191-3-3}
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I. Blahota; G. Gát. Almost everywhere convergence of Marcinkiewicz means of Fourier series on the group of 2-adic integers. Studia Mathematica, Tome 192 (2009) pp. 215-222. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm191-3-3/