Nörlund summability of double Fourier series
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- by John G. Herriot
- Trans. Amer. Math. Soc. 52 (1942), 72-94
- DOI: https://doi.org/10.1090/S0002-9947-1942-0006766-5
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References
- S. Banach, Théorie des Opérations Linéaires, Warsaw, 1932.
- Géza Grünwald, Zur Summabilitätstheorie der Fourierschen Doppelreihe, Proc. Cambridge Philos. Soc. 35 (1939), 343–350 (German). MR 308, DOI 10.1017/S0305004100021083
- Géza Grünwald, Über die Summabilität der Fourierschen Reihe, Acta Univ. Szeged. Sect. Sci. Math. 10 (1941), 55–63 (German). MR 3840
- Einar Hille and J. D. Tamarkin, On the summability of Fourier series. I, Trans. Amer. Math. Soc. 34 (1932), no. 4, 757–783. MR 1501662, DOI 10.1090/S0002-9947-1932-1501662-X
- Joseph Marcinkiewicz, Sur une méthode remarquable de sommation des séries doubles de Fourier, Ann. Scuola Norm. Super. Pisa Cl. Sci. (2) 8 (1939), no. 2, 149–160 (French). MR 1556822 J. Marcinkiewicz and A. Zygmund, On the summability of double Fourier series, Fundamenta Mathematicae, vol. 32 (1939), pp. 122-132.
Bibliographic Information
- © Copyright 1942 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 52 (1942), 72-94
- MSC: Primary 42.4X
- DOI: https://doi.org/10.1090/S0002-9947-1942-0006766-5
- MathSciNet review: 0006766