Circular summability $C$ of double trigonometric series
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- by Victor L. Shapiro
- Trans. Amer. Math. Soc. 76 (1954), 223-233
- DOI: https://doi.org/10.1090/S0002-9947-1954-0061688-7
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References
- Salomon Bochner, Summation of multiple Fourier series by spherical means, Trans. Amer. Math. Soc. 40 (1936), no. 2, 175–207. MR 1501870, DOI 10.1090/S0002-9947-1936-1501870-1
- Min-Teh Cheng, On a theorem of Nicolesco and generalized Laplace operators, Proc. Amer. Math. Soc. 2 (1951), 77–86. MR 41292, DOI 10.1090/S0002-9939-1951-0041292-X R. Courant and D. Hilbert, Methoden der mathematischen Physik II, Berlin, 1937. G. H. Hardy, The second theorem of consistency for summable series, Proc. London Math. Soc. (2) vol. 15 (1916) pp. 72-88. M. Nicolesco, Les fonctions polyharmoniques, Exposés sur la théorie des fonctions, vol. 4, 1936, Paris. G. N. Watson, Theory of Bessel functions, Cambridge, 1944. A. Zygmund, Trigonometrical series, Warsaw, 1935.
Bibliographic Information
- © Copyright 1954 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 76 (1954), 223-233
- MSC: Primary 42.4X
- DOI: https://doi.org/10.1090/S0002-9947-1954-0061688-7
- MathSciNet review: 0061688