The convergence of the Bochner-Riesz means at the critical index

Proceedings of the American Mathematical Society

Volumn 124, Issue 9, 1996, Pages 2717-2726

  Chen, Lung Kee ^a   Fan, Dashan ^b  

^a OREGON STATE UNIVERSITY   (United States)

^b UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21444448299     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-96-03333-3     Document Type: Article

References (7)

1. S. Bochner, Summation of Multiple Fourier Series by Spherical Means, Trans. Amer. Math. Soc. 40 (1936), 175-207.
2. K. Davis and Y. Chang, Lectures on Bochner-Riesz means, London Math. Soc. Lecture Note Series, Vol. 114, Cambridge University Press, Cambridge, London, New York, Melbourne, 1987. MR 88m:42031
3. S. Lu, Spherical Integrals and the Convergence of Spherical Riesz Means, Acta Math. Sinica 23 (4) (1980), 609-623. (Chinese) MR 82h:42021
4. R. Salem, New Theorems on the Convergence of Fourier Series, Nederl. Akad. Wetensch. Proc. Ser. A57 = Indag. Math. 16 (1954), 550-555. MR 17:845
5. E. M. Stein, On Certain Exponential Sums Arising in Multiple Fourier Series, Annals of Math. 73 (1961), 87-109. MR 23:A2715
6. E. M. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton University Press, Princeton, N.J., 1970. MR 46:4102
7. A. Zygmund, Trigonometric Series, Cambridge University Press, Cambridge, London, New York, Melbourne, 1977. MR 58:29731