Keywords
- Symmetric Space
- Banach Algebra
- Spherical Function
- Multiplier Theorem
- Lebesgue Constant
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References
Bonami, A., Clerc, J.L.: Sommes de Cesàro et multiplicateurs des développements en harmoniques sphériques. Trans. Amer. Math. Soc. 183, 223–263 (1973)
Cartan, É: Sur la détermination d'un système orthogonal complet dans un espace de Riemann symétrique clos. Rend. Circ. Palermo 53, 217–253 (1929)
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 A 274, 59–61 (1972)
Clerc, J.L.: Sommes de Riesz et multiplicateurs sur un groupe de Lie compact. Ann. Inst. Fourier, Grenoble 24, 149–172 (1974)
Coifman, R.R., Weiss, G.: Analyse harmonique non-commutative sur certains espaces homogènes. Lecture Notes in Mathematics, Vol. 242. Berlin-Heidelberg-New York 1971
Dieudonné, J.: Éléments d'Analyse. Tome VI. Gauthier-Villars Éditeur, Paris-Bruxelles-Montreal 1975
Dreseler, B.: Zu Entwicklungen nach sphärischen Funktionen gehörende Approximationsverfahren auf kompakten symmetrischen Mannigfaltigkeiten (to appear)
Dreseler, B. Lebesgue constants for spherical partial sums of Fourier series on compact Lie groups. In: Proceedings of the Colloquium on Fourier Analysis and Approximation Theory, Budapest 1976 (to appear)
Dreseler, B., Schempp, W.: On the convergence and divergence behaviour of approximation processes in homogeneous Banach spaces. Math. Z. 143, 81–89 (1975)
Dunkl, C.F., Ramirez, R.E.: Topics in harmonic analysis. New York: Appleton-Century-Crofts 1971
Gelfand, I.M: Spherical functions on Riemannian symmetric spaces. Dokl. Akad. Nauk SSSR 70, 5–8 (1950)
Helgason, S.: Differential geometry and symmetric spaces. New York: Academic Press 1962
Hewitt, E., Ross, K.A.: Abstract harmonic analysis. Vol. II. Berlin-Heidelberg-New York: Springer-Verlag 1970
Hrach, R.: Über Summationsverfahren bei Fourier-Reihen auf der unitären Gruppe U(n). Diplomarbeit. Ruhr-Universität Bochum 1974.
Igari, S.: On multipliers of Hankel transforms. Tôhoku Math. J. (2) 24, 201–206 (1972)
Stein, E.M.: Interpolation of linear operators. Trans. Amer. Math. Soc. 87, 159–172 (1958)
Stein, E.M., Weiss, G.: Introduction to Fourier analysis on Euclidean spaces. Princeton, New Jersey: Princeton University Press 1971
Varadarajan, V.S.: Lie groups, Lie algebras, and their representations. New York: Prentice Hall, INC. Englewood Cliffs, N.J. 1974
Warner, G.: Harmonic analysis on semi-simple Lie groups I. Berlin-Heidelberg-New York: Springer-Verlag 1972
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Dreseler, B. (1977). On summation processes of Fourier expansions for spherical functions. In: Schempp, W., Zeller, K. (eds) Constructive Theory of Functions of Several Variables. Lecture Notes in Mathematics, vol 571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086565
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DOI: https://doi.org/10.1007/BFb0086565
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