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Spectrum generating on twistor bundle

Thomas BransonDoojin Hong — 2006

Archivum Mathematicum

Spectrum generating technique introduced by Ólafsson, Ørsted, and one of the authors in the paper (Branson, T., Ólafsson, G. and Ørsted, B., Spectrum generating operators, and intertwining operators for representations induced from a maximal parabolic subgroups, J. Funct. Anal. 135 (1996), 163–205.) provides an efficient way to construct certain intertwinors when K -types are of multiplicity at most one. Intertwinors on the twistor bundle over S 1 × S n - 1 have some K -types of multiplicity 2. With some additional...

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