On absolute convergence of multiple Fourier series
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- by S. Minakshisundaram and Otto Szász PDF
- Trans. Amer. Math. Soc. 61 (1947), 36-53 Request permission
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 H. Bohr and H. Cramér, Encyklopädie der Mathematischen Wissenschaften, vol. II, Part 3, No. 8.
- George E. Reves and Otto Szász, Some theorems on double trigonometric series, Duke Math. J. 9 (1942), 693–705. MR 7931
- Friedrich Riesz, Über eine Verallgemeinerung der Parsevalschen Formel, Math. Z. 18 (1923), no. 1, 117–124 (German). MR 1544624, DOI 10.1007/BF01192400
- Otto Szász, Fourier series and mean moduli of continuity, Trans. Amer. Math. Soc. 42 (1937), no. 3, 366–395. MR 1501927, DOI 10.1090/S0002-9947-1937-1501927-6 G. N. Watson, Theory of Bessel functions, 2d ed., 1944.
Additional Information
- © Copyright 1947 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 61 (1947), 36-53
- MSC: Primary 42.4X
- DOI: https://doi.org/10.1090/S0002-9947-1947-0019148-1
- MathSciNet review: 0019148