The fundamentality of translates of a continuous function on spheres

1. E.W. Cheney and Y. Xu, A set of research problems in approximation theory, in:Topics in Polynomials of One and Several Variables and Their Applications, eds. Th.M. Rassias, H.M. Srivastava and A. Yanushaukas (World Scientific, London, 1992).

   Google Scholar 

2. W. Rudin,Real and Complex Analysis, 3rd ed. (McGraw-Hill, 1987).

3. I.J. Schoenberg, Positive definite functions on spheres, Duke Math. J. 9 (1942) 96–108.

   Google Scholar 

4. E.M. Stein and G. Weiss,Introduction to Fourier Analysis on Euclidean Spaces (Princeton University Press, Princeton, NJ, 1971).

   Google Scholar 

5. G. Szegö,Orthogonal Polynomials, Amer. Math. Colloq. Publ., vol. 23 (Amer. Math. Soc., Providence, RI, 1959).

   Google Scholar 

6. Y. Xu and E.W. Cheney, Strictly positive definite functions on spheres, Proc. Amer. Math. Soc. 116 (1992) 977–981.

   Google Scholar 

Download references