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Central measures on compact simple Lie groups. (English) Zbl 0286.43002


MSC:

43A07 Means on groups, semigroups, etc.; amenable groups
43A75 Harmonic analysis on specific compact groups
43A10 Measure algebras on groups, semigroups, etc.
43A30 Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
Full Text: DOI

References:

[1] Dunkl, C., Operators and harmonic analysis on the sphere, Trans. Amer. Math. Soc., 125, 250-263 (1966) · Zbl 0161.33901
[2] C. Dunkl and D. Ramirez; C. Dunkl and D. Ramirez · Zbl 0227.43001
[3] Gamelin, T., Uniform Algebras (1969), Prentice-Hall Inc: Prentice-Hall Inc Englewood Cliffs · Zbl 0213.40401
[4] Helgason, S., Differential Geometry and Symmetric Spaces (1962), Academic Press: Academic Press New York · Zbl 0122.39901
[5] Hewitt, E.; Ross, K., (Abstract Harmonic Analysis, Vol. II (1970), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0213.40103
[6] Hewitt, E.; Zuckerman, H., Singular measures with absolutely continuous convolution squares, (Proc. Cambridge Phil. Soc., 62 (1966)), 399-420 · Zbl 0148.38101
[7] Parker, W. A., Central Sidon Sets and Central \(Λ_p\) Sets, (Doctoral dissertation (1970), University of Oregon), (Eugene, Oregon: University of Oregon Library) · Zbl 0237.43004
[8] D. L. Ragozin; D. L. Ragozin
[9] Ragozin, D. L.; Rothschild, L. P., Central Measures on Semisimple Lie Groups Have Essentially Compact Support, (Proc. Amer. Math. Soc. (April, 1972)) · Zbl 0246.22009
[10] Rider, D., Central idempotent measures on unitary groups, Canad. J. Math., XXII, 719-725 (1970) · Zbl 0213.31401
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