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Spaces of analytic functions on a complex cone as carriers for the symmetric tensor representations of SO(n). (English) Zbl 0364.46016


MSC:

46E20 Hilbert spaces of continuous, differentiable or analytic functions
22E30 Analysis on real and complex Lie groups
46C05 Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)
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References:

[1] DOI: 10.1002/cpa.3160140303 · Zbl 0107.09102
[2] DOI: 10.1002/cpa.3160140303 · Zbl 0107.09102
[3] DOI: 10.1002/cpa.3160140303 · Zbl 0107.09102
[4] DOI: 10.1103/RevModPhys.34.829 · Zbl 0119.43705
[5] DOI: 10.1090/S0002-9947-1950-0051437-7
[6] DOI: 10.1016/0034-4877(75)90003-8 · Zbl 0345.22010
[7] DOI: 10.1016/0034-4877(75)90003-8 · Zbl 0345.22010
[8] DOI: 10.1016/0034-4877(75)90003-8 · Zbl 0345.22010
[9] DOI: 10.1098/rspa.1958.0141 · Zbl 0080.41402
[10] DOI: 10.1063/1.1664804 · Zbl 0183.29003
[11] DOI: 10.1063/1.1664796 · Zbl 0182.59702
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