References
Ananda Rau, K.: On the convergence and summability of Dirichlet's series. Proc. London Math. Soc. (2)34, 414–440 (1932).
Bochner, S.: Summation of multiple Fourier series by spherical means. Trans. Am. Math. Soc.40, 175–207 (1936).
Bohr, H., andH. Cramér: Die neuere Entwicklung der analytischen Zahlentheorie. Encykl. d. Math. Wiss.II C8, 722–849 (Leipzig, 1923–1927).
Chandrasekharan, K., andS. Minakshisundaram: Typical Means (Oxford University Press, 1952).
Chandrasekharan, K., andS. Minakshisundaram: A note on typical means. J. Indian Math. Soc. (N. S.)18, 107–114 (1954).
Rajagopal, C. T.: On Tauberian theorems for the Riemann-Liouville integral. Acad. Serbe Sci. Publ. Inst. Math.6, 27–46 (1954).
Wang, F. T.: On Riesz summability of Fourier series. Proc. London Math. Soc. (2)47, 308–325 (1942).
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Rajagopal, C.T. A Tauberian theorem for multiple fourier series. Math. Ann. 148, 238–243 (1962). https://doi.org/10.1007/BF01470751
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DOI: https://doi.org/10.1007/BF01470751