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Analytic continuation of the Fourier series on connected compact Lie groups. (English) Zbl 0387.43006


MSC:

43A75 Harmonic analysis on specific compact groups
22E30 Analysis on real and complex Lie groups
32D05 Domains of holomorphy
32A07 Special domains in \({\mathbb C}^n\) (Reinhardt, Hartogs, circular, tube) (MSC2010)
33C80 Connections of hypergeometric functions with groups and algebras, and related topics
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References:

[1] Beers, B.; Dragt, A., New theorems about spherical harmonics expansions and SU(2), J. Math. Phys., 11, 2313 (1970) · Zbl 0198.47701
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[4] Edwards, R. E., Integration and Harmonic Analysis on Compact Groups (1972), Cambridge Univ. Press: Cambridge Univ. Press Cambridge · Zbl 0231.43001
[5] Boas, R.; Buck, R., Polynomial Expansions of Analytic Functions (1958), Springer-Verlag: Springer-Verlag Berlin/Heidelberg/New York · Zbl 0082.05702
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[7] Seeley, R. T., Eigenfunction expansions of analytic functions, (Proc. Amer. Math. Soc., 21 (1969)), 734-738 · Zbl 0183.10102
[8] Nachbin, L., Holomorphic Functions, Domains of Holomorphy and Local Properties (1970), North-Holland: North-Holland Amsterdam · Zbl 0208.10301
[9] Helgason, S., Differential Geometry and Symmetric Spaces (1962), Academic Press: Academic Press New York · Zbl 0122.39901
[10] Whittaker, E. T.; Watson, G. N., A Course of Modern Analysis (1946), Cambridge Univ. Press: Cambridge Univ. Press Cambridge · Zbl 0108.26903
[11] Baouendi, M. S.; Goulaonic, C., Approximation polynomiale de fonctions \(C^∞\) et analytiques, Ann. Inst. Fourier, 21, 149-173 (1971) · Zbl 0215.17503
[12] Frota-Mattos, L., Analytic Continuation of the Fourier Series on Connected Compact Lie Groups, (Ph.D. Dissertation (May 1975), Rutgers University) · Zbl 0387.43006
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