References
Abramowitz, M. & I. Stegun,Handbook of Mathematical Functions, 9th print., Dover Publ., New York 1970
Askey, R.,Orthogonal Polynomials and Special Functions, Reg. Conf. Series in Appl. Math.21, SIAM, Philadelphia 1975
de Boor, C., Spines as linear combinations ofB-splines. A survey, inApproximation Theory II — Conference, Academic Press, Inc., New York 1976, 1–47
Gasper, G., Positive sums of the classical orthogonal polynomials,SIAM J. Math. Anal. 8 (1977), 423–447
Golubov, B. I., On Abel-Poisson type and Riesz means,Analysis Mathematica 7 (1981), 161–184
Herriot, J. G., Nörlund summability of multiple Fourier series, Duke Math. J.11 (1944), 735–754
Prudnikov, A. P., Brychkov, Yu. A. & O. I. Marichev,Integrals and Series Vol. 1: Elementary Functions (English translation), Gordon & Breach Sci. Publ., New York 1986
Shapiro, V. L., Fourier series in several variables,Bull. Amer. Math. Soc. 70 (1964), 48–93
Stein, E. M. & G. Weiss,Introduction to Fourier Analysis on Euclidean Spaces, Princeton Univ. Press, Princeton 1971
Szegö, G.,Orthogonal Polynomials, AMS Colloq. Publ. Vol.25, 4th ed., AMS, Providence 1975
Xu, Y., On multivariate orthogonal polynomials,SIAM J. Math. Anal. 24 (1993), 783–794
Xu, Y., Christoffel functions and Fourier series for multivariate orthogonal polynomials, J. Approx. Theory (in press)
Zygmund, A.,Trigonometric Series, 2nd ed., Cambridge Univ. Press, Cambridge 1968
Author information
Authors and Affiliations
Additional information
Dedicated to Professor D.J. Newman on the occasion of his 65th birthday
Supported by the NSF-Grant # 9302721 and the AvH-Foundation
Rights and permissions
About this article
Cite this article
Berens, H., Xu, Y. Fejér means for multivariate fourier series. Math Z 221, 449–465 (1996). https://doi.org/10.1007/BF02622126
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02622126