On divergence of trigonometric Fourier series everywhere;Sur la divergence partout des séries de Fourier

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 329, Issue 8, 1999, Pages 693-697

  Konyagin, Sergei V ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033569283     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(00)88219-1     Document Type: Article

References (11)

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3. 1-ε, J. Lond. Math. Soc. 44 (1969) 643-654.
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5. [5] Hunt R.A., On the convergence of Fourier series, Orthogonal expansions and their continuous analogues, Southern III. Univ. Press, Carbondale, Ill., 1968, pp. 235-255.
6. [6] Kahane J.-P., Sur la divergence presque sûre partout de certaines séries de Fourier aléatoires, Ann. Univ. Sci. Budapest, Eötvös Sect. Math. 3-4 (1960/61) 101-108.
7. [7] Kolmogoroff A.N., Une série de Fourier-Lebesgue divergente presque partout, Fund. Math. 4 (1923) 324-328.
8. [8] Kolmogoroff A.N., Une série de Fourier-Lebesgue divergente partout, C. R. Acad. Sci. Paris 183 (1926) 1327-1329.
9. [9] Körner T.W., Everywhere divergent Fourier series, Colloq. Math. 45 (1981) 103-118.
10. [10] Sjölin P., An inequality of Paley and convergence a.e. of Walsh-Fourier series, Ark. Mat. 7 (1969) 551-570.
11. [11] Stein E.M., On limits of sequences of operators, Ann. Math. 74 (1961) 140-170.