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A note on spherical summation multipliers. (English) Zbl 0262.42007

MSC:
 42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 42B05 Fourier series and coefficients, several variables 42-02 Research monographs (Fourier analysis) 42A45 Multipliers, one variable
References:
 [1] S. Bochner,Summation of multiple Fourier series by spherical means, Trans. Amer. Math. Soc. (1936). [2] L. Carleson and P. Sjölin,Oscillatory integrals and a multiplier problem for the disc, Studia Math, to appear. [3] C. Fefferman,Inequalities for strongly singular convolution operators, Acta Math. (1970). [4] C. Hefferman,The multiplier problem for the ball, Ann. of Math. (1972). [5] C. Herz,On the mean inversion of Fourier and Hankel transforms, Proc. Nat. Acad. Sci. U. S. A. (1954). [6] L. Hörmander,Oscillatory integrals and multipliers on FL p , to appear. [7] P. Sjölin, private communication. [8] E. M. Stein,Interpolation of linear operators, Trans. Amer. Math. Soc. (1956). [9] E. M. Stein and G. Weiss,Introduction to Fourier Analysis in Euclidean Spaces, Princeton University Press, 1971.