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Lie Groups and Representation Theory
Seminar information archive ～04/15｜Next seminar｜Future seminars 04/16～
| Date, time & place | Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.) |
|---|
2015/04/21
17:00-18:30 Room #122 (Graduate School of Math. Sci. Bldg.)
Ryosuke Nakahama (the University of Tokyo, Department of Mathematical Sciences)
Norm computation and analytic continuation of vector valued holomorphic discrete series representations
(English)
Ryosuke Nakahama (the University of Tokyo, Department of Mathematical Sciences)
Norm computation and analytic continuation of vector valued holomorphic discrete series representations
(English)
[ Abstract ]
The holomorphic discrete series representations is realized on the space of vector-valued holomorphic functions on the complex bounded symmetric domains. When the parameter is sufficiently large, then its norm is given by the converging integral, but when the parameter becomes small, then the integral does not converge. However, if once we compute the norm explicitly, then we can consider its analytic continuation, and can discuss its properties, such as unitarizability. In this talk we treat the results on explicit norm computation.
The holomorphic discrete series representations is realized on the space of vector-valued holomorphic functions on the complex bounded symmetric domains. When the parameter is sufficiently large, then its norm is given by the converging integral, but when the parameter becomes small, then the integral does not converge. However, if once we compute the norm explicitly, then we can consider its analytic continuation, and can discuss its properties, such as unitarizability. In this talk we treat the results on explicit norm computation.
