Favard classes for $n$-dimensional singular integrals
HTML articles powered by AMS MathViewer
- by P. L. Butzer and R. J. Nessel PDF
- Bull. Amer. Math. Soc. 72 (1966), 493-498
References
- Salomon Bochner, Harmonic analysis and the theory of probability, University of California Press, Berkeley-Los Angeles, Calif., 1955. MR 0072370, DOI 10.1525/9780520345294
- S. Bochner and K. Chandrasekharan, Fourier Transforms, Annals of Mathematics Studies, No. 19, Princeton University Press, Princeton, N. J.; Oxford University Press, London, 1949. MR 0031582
- P. L. Butzer, Fourier-transform methods in the theory of approximation, Arch. Rational Mech. Anal. 5 (1960), 390–415 (1960). MR 117480, DOI 10.1007/BF00252917
- P. L. Butzer, Integral transform methods in the theory of approximation, On Approximation Theory (Proceedings of Conference in Oberwolfach, 1963), Birkhäuser, Basel, 1964, pp. 12–23. MR 0180795
- Harald Cramér, On the representation of a function by certain Fourier integrals, Trans. Amer. Math. Soc. 46 (1939), 191–201. MR 73, DOI 10.1090/S0002-9947-1939-0000073-2
- J. Favard, Sur l’approximation des fonctions d’une variable réelle, Analyse Harmonique, Colloques Internationaux du Centre National de la Recherche Scientifique, no. 15, Centre National de la Recherche Scientifique, Paris, 1949, pp. 97–110 (French). MR 0032839
- Victor L. Shapiro, Fourier series in several variables, Bull. Amer. Math. Soc. 70 (1964), 48–93. MR 158222, DOI 10.1090/S0002-9904-1964-11026-0
- Gen-ichiro Sunouchi, On the class of saturation in the theory of approximation. I, Tohoku Math. J. (2) 12 (1960), 339–344. MR 124676, DOI 10.2748/tmj/1178244446 9. E. C. Titchmarsh, Introduction to the theory of Fourier integrals, Oxford Univ. Press, Oxford, 1959.
Additional Information
- Journal: Bull. Amer. Math. Soc. 72 (1966), 493-498
- DOI: https://doi.org/10.1090/S0002-9904-1966-11512-4
- MathSciNet review: 0192249