References
Bonami, A., Clerc, J.-L.: Sommes de Cesàro et multiplicateurs des développements en harmoniques sphériques. C. r. Acad. Sci., Paris, Sér. A274, 1707–1709 (1972)
Bonami, A., Clerc, J.-L.: Sommes de Cesàro et multiplicateurs des développements en harmoniques sphériques. Trans. Amer. math. Soc.183, 223–263 (1973)
Cheney, E. W., Hobby, C. R., Morris, P. D., Schurer, F., Wulbert, D.E.: On the minimal property of the Fourier projection. Bull. Amer. math. Soc.75, 51–52 (1969)
Clerc, J.-L.: Fonctions de Paley-Littlewood surSU (2) attachées aux sommes de Riesz. C. r. Acad. Sci., Paris, Sér. A272, 1697–1699 (1971)
Clerc, J.-L.: Les sommes partielles de la décomposition en harmoniques sphériques ne convergent pas dans Lp (p≠2). C. r. Acad. Sci., Paris, Sér. A274, 59–61 (1972)
Dreseler, B., Schempp, W.: On the Charshiladze-Lozinski theorem for compact topological groups and homogeneous spaces. Manuscripta math.13, 321–337 (1971)
Fefferman, C.: The multiplier problem for the ball. Ann. of Math., II. Ser.94, 330–336 (1971)
Gangolli, R.: Positive definite kernels as homogeneous spaces and certain stochastic processes related to Lévy's Brownian motion of several parameters. Ann. Inst. Henri Poincaré, n. Sér., Sect. B.3, 121–226 (1967)
Hawley, D.N.: Fourier analysis ofa-adic solenoids. Dissertation. University of Oregon 1969
Helgason, S.: Topologies of group algebras and a theorem of Littlewood. Trans. Amer. math. Soc.86, 269–283 (1957)
Hewitt, E., Ross, K.A.: Abstract harmonic analysis, Vol. I. Die Grundlehren der math. Wissenschaften, Band115. Berlin-Heidelberg-New York: Springer 1963
Hewitt, E., Zuckerman, H.S.: On a theorem of P.J. Cohen and H. Davenport. Proc. Amer. math. Soc.14, 847–855 (1963)
Katznelson, Y.: An introduction to harmonic analysis. New York-London-Sydney-Toronto: J. Wiley & Sons 1968
Lambert, P.V.: Minimum norm projectors on the linear spaces of finite sets of characters. Dissertation. Free University of Brussels 1969
Lambert, P.V.: Minimum norm property of the Fourier projection in spaces of continuous functions. Bull. Soc. math. Belgique4, 359–369 (1969)
Lambert, P.V.: On the minimum norm property of the Fourier projection in L1-spaces. Bull. Soc. math. Belgique4, 370–397 (1969)
Lambert, P.V.: On the minimum norm property of the Fourier projection in L1-spaces and in spaces of continuous functions. Bull. Amer. math. Soc.76, 798–804 (1970)
Larsen, R.: An introduction to the theory of multipliers. Die Grundlehren der math. Wissenschaften, Band175. Berlin-Heidelberg-New York: Springer 1971
De Leeuw, K.: On Lp multipliers. Ann. of Math. II. Ser.81, 364–379 (1965)
Pollard, H.: The mean convergence of orthogonal series, III. Duke math. J.16, 189–191 (1949)
Pottinger, P.: Absolute Projektionskonstanten endlich-dimensionaler normierter Vektorräume. Dissertation. Ruhr-Universität Bochum 1973
Shapiro, H.S.: Topics in approximation theory. Lecture Notes in Math., Vol.187. Berlin-Heidelberg-New York: Springer 1971
Singer, I.: Bases in Banach spaces I. Die Grundlehren der math. Wissenschaften, Band154. Berlin-Heldelberg-New York: Springer 1970
Stein, E.M.: Singular integrals and differentiability properties of functions. Princeton, N.J.: Princeton University Press 1970
Stein, E.M., Weiss, G.: Introduction to Fourier analysis on Euclidean spaces. Princeton, N.J.: Princeton University Press 1971
Taibleson, M.H.: Fourier series on the ring of integers in ap-series field. Bull. Amer. math. Soc.73, 623–629 (1967)
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Dreseler, B., Schempp, W. On the convergence and divergence behaviour of approximation processes in homogeneous Banach spaces. Math Z 143, 81–89 (1975). https://doi.org/10.1007/BF01173052
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DOI: https://doi.org/10.1007/BF01173052