Abstract
From the fact that forty years passed between the last two results it is plain that the proofs of Carleson’s and subsequent theorems are too complicated to be included in these notes.
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References
Du Bois–Reymond, P. “Untersuchungen über die Convergenz und Divergenz der Fourierschen Darstellungsformeln,” Abhandlungen der Akademie München XII (1876), 1–103.
Carleson, L. “On the convergence and growth of partial sums of Fourier series,” Acta Math 116 (1966), 135–157.
Riesz, M. “Sur les ensembles compact de fonctions sommable,” Acta Sci. Math. Szeged 6 (1933) 136-42.
Kolmogorov, A. N. “Une séries de Fourier-Lebesgue divergente partout,” C.R.Acad Sci. Paris, 183 (1926), 1327-28.
Thomas, E. G. F. “L’integration par rapport a une mesure de Radon vectorielle,” Ann. Inst. Fourier 20 (1970), 55–191.
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© 1998 Birkhäuser Verlag
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Bichteler, K. (1998). The Classical Banach Spaces. In: Integration - A Functional Approach. Modern Birkhäuser Classics. Springer, Basel. https://doi.org/10.1007/978-3-0348-0055-6_4
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DOI: https://doi.org/10.1007/978-3-0348-0055-6_4
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