Authors
Citation
Sv. Konyagin, On divergence of trigonometric Fourier series everywhere, CR AC S I, 329(8), 1999, pp. 693-697
Citations number
11
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442
→ ACNP
Volume
329
Issue
8
Year of publication
1999
Pages
693 - 697
Database
ISI
SICI code
0764-4442(19991015)329:8<693:ODOTFS>2.0.ZU;2-P
Abstract
We prove that if a positive sequence {psi(m)} satisfy the condition
psi(m) = o(root logm/root log log m) (m --> infinity),
then there exists a function f is an element of L[-pi,pi] such tha t
[GRAPHICS]
where S-m(f, x) is the m-th partial Fourier sum of f. (C) 1999 Academie des
sciences/Editions sciences/Editions scientifiques et medicales Elsevier SA
S.